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151540636032 = 2732131545691
BaseRepresentation
bin1000110100100010000…
…1101001100110000000
3112111011010102221012100
42031020201221212000
54440323400323112
6153341121430400
713643214103332
oct2151041514600
9474133387170
10151540636032
11592a4813875
122545279b400
13113a07cb906
147498231452
153e1dea42dc
hex2348869980

151540636032 has 48 divisors (see below), whose sum is σ = 436073968980. Its totient is φ = 50513544960.

The previous prime is 151540636007. The next prime is 151540636043. The reversal of 151540636032 is 230636045151.

151540636032 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 40 + 6 + 3 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65771694 + ... + 65773997.

Almost surely, 2151540636032 is an apocalyptic number.

151540636032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151540636032 is an abundant number, since it is smaller than the sum of its proper divisors (284533332948).

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

151540636032 is a wasteful number, since it uses less digits than its factorization.

151540636032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131545711 (or 131545696 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 151540636032 in words is "one hundred fifty-one billion, five hundred forty million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 131545691 263091382 394637073 526182764 789274146 1052365528 1183911219 1578548292 2104731056 2367822438 3157096584 4209462112 4735644876 6314193168 8418924224 9471289752 12628386336 16837848448 18942579504 25256772672 37885159008 50513545344 75770318016 151540636032