Search a number
-
+
151964972816 = 24171929404987
BaseRepresentation
bin1000110110000111010…
…0010111011100010000
3112112020200220110211112
42031201310113130100
54442211013112231
6153451200432452
713656555645656
oct2154164273420
9475220813745
10151964972816
11594a22a1328
1225550918728
131143a6b1577
1474d872cdd6
153e4637392b
hex2361d17710

151964972816 has 40 divisors (see below), whose sum is σ = 328159666080. Its totient is φ = 67749087744.

The previous prime is 151964972779. The next prime is 151964972827. The reversal of 151964972816 is 618279469151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14697326 + ... + 14707661.

It is an arithmetic number, because the mean of its divisors is an integer number (8203991652).

Almost surely, 2151964972816 is an apocalyptic number.

151964972816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151964972816 is an abundant number, since it is smaller than the sum of its proper divisors (176194693264).

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

151964972816 is a wasteful number, since it uses less digits than its factorization.

151964972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29405031 (or 29405025 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 59.

The spelling of 151964972816 in words is "one hundred fifty-one billion, nine hundred sixty-four million, nine hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2584 5168 29404987 58809974 117619948 235239896 470479792 499884779 558694753 999769558 1117389506 1999539116 2234779012 3999078232 4469558024 7998156464 8939116048 9497810801 18995621602 37991243204 75982486408 151964972816