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10064904976 = 247235832
BaseRepresentation
bin10010101111110101…
…00100001100010000
3221222102220011000101
421113322210030100
5131103103424401
64342421502144
7504263165200
oct112772441420
927872804011
1010064904976
1142a5416095
121b4a871954
13c45293b99
146b6a1a400
153dd92e101
hex257ea4310

10064904976 has 45 divisors (see below), whose sum is σ = 22690882791. Its totient is φ = 4312326816.

The previous prime is 10064904937. The next prime is 10064904977. The reversal of 10064904976 is 67940946001.

The square root of 10064904976 is 100324.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10064904977) 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, 2807281 + ... + 2810863.

Almost surely, 210064904976 is an apocalyptic number.

10064904976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10064904976 is the 100324-th square number.

It is an amenable number.

10064904976 is an abundant number, since it is smaller than the sum of its proper divisors (12625977815).

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

10064904976 is an frugal number, since it uses more digits than its factorization.

10064904976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 10064904976 in words is "ten billion, sixty-four million, nine hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3583 7166 14332 25081 28664 50162 57328 100324 175567 200648 351134 401296 702268 1404536 2809072 12837889 25675778 51351556 89865223 102703112 179730446 205406224 359460892 629056561 718921784 1258113122 1437843568 2516226244 5032452488 10064904976