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152078168448 = 2732132012299
BaseRepresentation
bin1000110110100010010…
…0001011000110000000
3112112112120220102001100
42031220210023012000
54442424002342243
6153510322534400
713662432050253
oct2155044130600
9475476812040
10152078168448
1159550185938
1225582807400
1311457c9532b
14750979709a
153e512830d3
hex236890b180

152078168448 has 48 divisors (see below), whose sum is σ = 437620774500. Its totient is φ = 50692722432.

The previous prime is 152078168447. The next prime is 152078168467. The reversal of 152078168448 is 844861870251.

152078168448 is a `hidden beast` number, since 1 + 520 + 78 + 1 + 6 + 8 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152078168394 and 152078168403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152078168441) by changing a digit.

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, 66004998 + ... + 66007301.

Almost surely, 2152078168448 is an apocalyptic number.

152078168448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152078168448 is an abundant number, since it is smaller than the sum of its proper divisors (285542606052).

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

152078168448 is a wasteful number, since it uses less digits than its factorization.

152078168448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132012319 (or 132012304 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 152078168448 in words is "one hundred fifty-two billion, seventy-eight million, one hundred sixty-eight thousand, four hundred forty-eight".

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 132012299 264024598 396036897 528049196 792073794 1056098392 1188110691 1584147588 2112196784 2376221382 3168295176 4224393568 4752442764 6336590352 8448787136 9504885528 12673180704 16897574272 19009771056 25346361408 38019542112 50692722816 76039084224 152078168448