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10860974656 = 267218612
BaseRepresentation
bin10100001110101110…
…10101001001000000
31001000220211200022121
422013113111021000
5134220402142111
64553420214024
7533100522100
oct120727251100
931026750277
1010860974656
114673812014
12213139a314
13104119bb2c
14750641200
1543877b871
hex2875d5240

10860974656 has 63 divisors (see below), whose sum is σ = 25084459737. Its totient is φ = 4652202240.

The previous prime is 10860974653. The next prime is 10860974669. The reversal of 10860974656 is 65647906801.

The square root of 10860974656 is 104216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11669056 + 10849305600 = 3416^2 + 104160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10860974653) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5835166 + ... + 5837026.

Almost surely, 210860974656 is an apocalyptic number.

10860974656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10860974656 is the 104216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10860974656

10860974656 is an abundant number, since it is smaller than the sum of its proper divisors (14223485081).

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

10860974656 is an frugal number, since it uses more digits than its factorization.

10860974656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 10860974656 in words is "ten billion, eight hundred sixty million, nine hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 1861 3136 3722 7444 13027 14888 26054 29776 52108 59552 91189 104216 119104 182378 208432 364756 416864 729512 833728 1459024 2918048 3463321 5836096 6926642 13853284 24243247 27706568 48486494 55413136 96972988 110826272 169702729 193945976 221652544 339405458 387891952 678810916 775783904 1357621832 1551567808 2715243664 5430487328 10860974656