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10568795040 = 253258388427
BaseRepresentation
bin10011101011111001…
…10000001110100000
31000021120001102020100
421311330300032200
5133121102420130
64504421542400
7522622163346
oct116574601640
930246042210
1010568795040
11453389a161
12206b574a00
13cc57ab79b
14723905996
1541ccb4c60
hex275f303a0

10568795040 has 144 divisors (see below), whose sum is σ = 36500956128. Its totient is φ = 2784357888.

The previous prime is 10568795023. The next prime is 10568795051. The reversal of 10568795040 is 4059786501.

10568795040 is a `hidden beast` number, since 10 + 5 + 68 + 79 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105687950402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75307 + ... + 163733.

It is an arithmetic number, because the mean of its divisors is an integer number (253478862).

Almost surely, 210568795040 is an apocalyptic number.

10568795040 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 10568795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250478064).

10568795040 is an abundant number, since it is smaller than the sum of its proper divisors (25932161088).

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

10568795040 is a wasteful number, since it uses less digits than its factorization.

10568795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88531 (or 88520 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10568795040 in words is "ten billion, five hundred sixty-eight million, seven hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1660 1992 2490 2656 2988 3320 3735 3984 4980 5976 6640 7470 7968 9960 11952 13280 14940 19920 23904 29880 39840 59760 88427 119520 176854 265281 353708 442135 530562 707416 795843 884270 1061124 1326405 1414832 1591686 1768540 2122248 2652810 2829664 3183372 3537080 3979215 4244496 5305620 6366744 7074160 7339441 7958430 8488992 10611240 12733488 14148320 14678882 15916860 21222480 22018323 25466976 29357764 31833720 36697205 42444960 44036646 58715528 63667440 66054969 73394410 88073292 110091615 117431056 127334880 132109938 146788820 176146584 220183230 234862112 264219876 293577640 330274845 352293168 440366460 528439752 587155280 660549690 704586336 880732920 1056879504 1174310560 1321099380 1761465840 2113759008 2642198760 3522931680 5284397520 10568795040