Search a number
-
+
10056162276 = 22321045726713
BaseRepresentation
bin10010101110110010…
…01101101111100100
3221221211102222021200
421113121031233210
5131043334143101
64341510242500
7504125653236
oct112731155744
927854388250
1010056162276
1142a0494616
121b47956430
13c435226a4
146b57c2256
153dcca3986
hex25764dbe4

10056162276 has 36 divisors (see below), whose sum is σ = 25423126092. Its totient is φ = 3351608064.

The previous prime is 10056162271. The next prime is 10056162287. The reversal of 10056162276 is 67226165001.

It is a happy number.

10056162276 is a `hidden beast` number, since 1 + 0 + 0 + 561 + 6 + 22 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9530835876 + 525326400 = 97626^2 + 22920^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100561622762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10056162276.

It is not an unprimeable number, because it can be changed into a prime (10056162271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 363096 + ... + 389808.

It is an arithmetic number, because the mean of its divisors is an integer number (706197947).

Almost surely, 210056162276 is an apocalyptic number.

It is an amenable number.

10056162276 is an abundant number, since it is smaller than the sum of its proper divisors (15366963816).

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

10056162276 is a wasteful number, since it uses less digits than its factorization.

10056162276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37180 (or 37175 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10056162276 in words is "ten billion, fifty-six million, one hundred sixty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 10457 20914 26713 31371 41828 53426 62742 80139 94113 106852 125484 160278 188226 240417 320556 376452 480834 961668 279337841 558675682 838013523 1117351364 1676027046 2514040569 3352054092 5028081138 10056162276