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10534521440 = 2552910912081
BaseRepresentation
bin10011100111110100…
…00000101001100000
31000012011120010200202
421303322000221200
5133033314141230
64501155204332
7522024645332
oct116372005140
930164503622
1010534521440
11451650a973
12205bba66a8
13cbb66b551
1471d143452
15419c94a45
hex273e80a60

10534521440 has 96 divisors (see below), whose sum is σ = 25781988960. Its totient is φ = 4062822400.

The previous prime is 10534521383. The next prime is 10534521451. The reversal of 10534521440 is 4412543501.

It is a super-2 number, since 2×105345214402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5061200 + ... + 5063280.

It is an arithmetic number, because the mean of its divisors is an integer number (268562385).

Almost surely, 210534521440 is an apocalyptic number.

10534521440 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 10534521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890994480).

10534521440 is an abundant number, since it is smaller than the sum of its proper divisors (15247467520).

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

10534521440 is a wasteful number, since it uses less digits than its factorization.

10534521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 10534521440 in words is "ten billion, five hundred thirty-four million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1091 1160 2081 2182 2320 4162 4364 4640 5455 8324 8728 10405 10910 16648 17456 20810 21820 31639 33296 34912 41620 43640 60349 63278 66592 83240 87280 120698 126556 158195 166480 174560 241396 253112 301745 316390 332960 482792 506224 603490 632780 965584 1012448 1206980 1265560 1931168 2270371 2413960 2531120 4540742 4827920 5062240 9081484 9655840 11351855 18162968 22703710 36325936 45407420 65840759 72651872 90814840 131681518 181629680 263363036 329203795 363259360 526726072 658407590 1053452144 1316815180 2106904288 2633630360 5267260720 10534521440