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10532674256 = 24132910716319
BaseRepresentation
bin10011100111100101…
…11101101011010000
31000012001002021211112
421303302331223100
5133032331034011
64501051432452
7522003153056
oct116362755320
930161067745
1010532674256
114515469075
12205b455728
13cbb172840
1471cbc21d6
15419a2c58b
hex273cbdad0

10532674256 has 80 divisors (see below), whose sum is σ = 22948531200. Its totient is φ = 4649455104.

The previous prime is 10532674237. The next prime is 10532674283. The reversal of 10532674256 is 65247623501.

It is a super-2 number, since 2×105326742562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637265 + ... + 653583.

It is an arithmetic number, because the mean of its divisors is an integer number (286856640).

Almost surely, 210532674256 is an apocalyptic number.

10532674256 is a gapful number since it is divisible by the number (16) 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 10532674256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474265600).

10532674256 is an abundant number, since it is smaller than the sum of its proper divisors (12415856944).

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

10532674256 is a wasteful number, since it uses less digits than its factorization.

10532674256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 10532674256 in words is "ten billion, five hundred thirty-two million, six hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 107 116 208 214 232 377 428 464 754 856 1391 1508 1712 2782 3016 3103 5564 6032 6206 11128 12412 16319 22256 24824 32638 40339 49648 65276 80678 130552 161356 212147 261104 322712 424294 473251 645424 848588 946502 1697176 1746133 1893004 3394352 3492266 3786008 6152263 6984532 7572016 12304526 13969064 22699729 24609052 27938128 45399458 49218104 50637857 90798916 98436208 101275714 181597832 202551428 363195664 405102856 658292141 810205712 1316584282 2633168564 5266337128 10532674256