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10530540521040 = 24351132331666499
BaseRepresentation
bin1001100100111101010100…
…1000001000011001010000
31101021201011110211011220210
42121033111020020121100
52340013021333133130
634221355153404120
72134543416354621
oct231172510103120
941251143734823
1010530540521040
11339aa82658a51
121220a80869640
135b5044640207
1428597649da48
15133dcbd6e5b0
hex993d5208650

10530540521040 has 160 divisors (see below), whose sum is σ = 33074932176000. Its totient is φ = 2771346178048.

The previous prime is 10530540521021. The next prime is 10530540521047. The reversal of 10530540521040 is 4012504503501.

It is a super-2 number, since 2×105305405210402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10530540520989 and 10530540521007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530540521047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5485711 + ... + 7152209.

It is an arithmetic number, because the mean of its divisors is an integer number (206718326100).

Almost surely, 210530540521040 is an apocalyptic number.

10530540521040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10530540521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16537466088000).

10530540521040 is an abundant number, since it is smaller than the sum of its proper divisors (22544391654960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10530540521040 is a wasteful number, since it uses less digits than its factorization.

10530540521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666861 (or 1666855 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 10530540521040 in words is "ten trillion, five hundred thirty billion, five hundred forty million, five hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 233 240 339 452 466 565 678 699 904 932 1130 1165 1356 1398 1695 1808 1864 2260 2330 2712 2796 3390 3495 3728 4520 4660 5424 5592 6780 6990 9040 9320 11184 13560 13980 18640 26329 27120 27960 52658 55920 78987 105316 131645 157974 210632 263290 315948 394935 421264 526580 631896 789870 1053160 1263792 1579740 1666499 2106320 3159480 3332998 4999497 6318960 6665996 8332495 9998994 13331992 16664990 19997988 24997485 26663984 33329980 39995976 49994970 66659960 79991952 99989940 133319920 188314387 199979880 376628774 388294267 399959760 564943161 753257548 776588534 941571935 1129886322 1164882801 1506515096 1553177068 1883143870 1941471335 2259772644 2329765602 2824715805 3013030192 3106354136 3766287740 3882942670 4519545288 4659531204 5649431610 5824414005 6212708272 7532575480 7765885340 9039090576 9319062408 11298863220 11648828010 15065150960 15531770680 18638124816 22597726440 23297656020 31063541360 43877252171 45195452880 46595312040 87754504342 93190624080 131631756513 175509008684 219386260855 263263513026 351018017368 438772521710 526527026052 658158782565 702036034736 877545043420 1053054052104 1316317565130 1755090086840 2106108104208 2632635130260 3510180173680 5265270260520 10530540521040