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10056051144 = 2332686920333
BaseRepresentation
bin10010101110110001…
…10010100111001000
3221221211020022211200
421113120302213020
5131043322114034
64341504024200
7504125011236
oct112730624710
927854208750
1010056051144
1142a0419077
121b47902060
13c434b3c29
146b5793956
153dcc80a99
hex2576329c8

10056051144 has 48 divisors (see below), whose sum is σ = 27240443100. Its totient is φ = 3351364224.

The previous prime is 10056051143. The next prime is 10056051149. The reversal of 10056051144 is 44115065001.

10056051144 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 605 + 11 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10046052900 + 9998244 = 100230^2 + 3162^2 .

It is a super-2 number, since 2×100560511442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056051143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484402 + ... + 504734.

Almost surely, 210056051144 is an apocalyptic number.

It is an amenable number.

10056051144 is an abundant number, since it is smaller than the sum of its proper divisors (17184391956).

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

10056051144 is a wasteful number, since it uses less digits than its factorization.

10056051144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27214 (or 27207 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10056051144 in words is "ten billion, fifty-six million, fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6869 13738 20333 20607 27476 40666 41214 54952 60999 61821 81332 82428 121998 123642 162664 164856 182997 243996 247284 365994 487992 494568 731988 1463976 139667377 279334754 419002131 558669508 838004262 1117339016 1257006393 1676008524 2514012786 3352017048 5028025572 10056051144