Search a number
-
+
157960592892 = 223212750368687
BaseRepresentation
bin1001001100011100101…
…1110101110111111100
3120002201112201112101100
42103013023311313330
510042000402433032
6200322135413100
714261260612614
oct2230713656774
9502645645340
10157960592892
1160a99700443
1226744824190
1311b848a585b
147906b1ba44
1541978e397c
hex24c72f5dfc

157960592892 has 72 divisors (see below), whose sum is σ = 403239223296. Its totient is φ = 52134322464.

The previous prime is 157960592891. The next prime is 157960592917. The reversal of 157960592892 is 298295069751.

157960592892 is a `hidden beast` number, since 1 + 579 + 6 + 0 + 59 + 2 + 8 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157960592891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265373 + ... + 2334059.

It is an arithmetic number, because the mean of its divisors is an integer number (5600544768).

Almost surely, 2157960592892 is an apocalyptic number.

157960592892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157960592892 is an abundant number, since it is smaller than the sum of its proper divisors (245278630404).

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

157960592892 is a wasteful number, since it uses less digits than its factorization.

157960592892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69327 (or 69322 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 157960592892 in words is "one hundred fifty-seven billion, nine hundred sixty million, five hundred ninety-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 503 508 762 1006 1143 1509 1524 2012 2286 3018 4527 4572 6036 9054 18108 63881 68687 127762 137374 191643 206061 255524 274748 383286 412122 574929 618183 766572 824244 1149858 1236366 2299716 2472732 8723249 17446498 26169747 34549561 34892996 52339494 69099122 78509241 103648683 104678988 138198244 157018482 207297366 310946049 314036964 414594732 621892098 1243784196 4387794247 8775588494 13163382741 17551176988 26326765482 39490148223 52653530964 78980296446 157960592892