Search a number
-
+
10457132004 = 223211171553347
BaseRepresentation
bin10011011110100101…
…10010101111100100
3222222202221100100100
421233102302233210
5132404011211004
64445352344100
7520065104214
oct115722625744
928882840310
1010457132004
114486862060
12203a0a5030
13ca8613497
14712b5a244
154130a9739
hex26f4b2be4

10457132004 has 72 divisors (see below), whose sum is σ = 30532608288. Its totient is φ = 2982424320.

The previous prime is 10457132003. The next prime is 10457132017. The reversal of 10457132004 is 40023175401.

10457132004 is a `hidden beast` number, since 1 + 0 + 457 + 1 + 3 + 200 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (10457132003) 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 23 ways as a sum of consecutive naturals, for example, 769942 + ... + 783405.

It is an arithmetic number, because the mean of its divisors is an integer number (424064004).

Almost surely, 210457132004 is an apocalyptic number.

It is an amenable number.

10457132004 is an abundant number, since it is smaller than the sum of its proper divisors (20075476284).

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

10457132004 is a wasteful number, since it uses less digits than its factorization.

10457132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553385 (or 1553380 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10457132004 in words is "ten billion, four hundred fifty-seven million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 1553347 3106694 4660041 6213388 9320082 13980123 17086817 18640164 26406899 27960246 34173634 51260451 52813798 55920492 68347268 79220697 102520902 105627596 153781353 158441394 205041804 237662091 290475889 307562706 316882788 475324182 580951778 615125412 871427667 950648364 1161903556 1742855334 2614283001 3485710668 5228566002 10457132004