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151401515264 = 28809731041
BaseRepresentation
bin1000110100000000111…
…0111100100100000000
3112110210102122212101022
42031000032330210000
54440032241442024
6153315231525012
713636604434406
oct2150016744400
9473712585338
10151401515264
115923323232a
1225414089768
131137aa3b82c
147483979476
153e11b7335e
hex23403bc900

151401515264 has 36 divisors (see below), whose sum is σ = 302585594220. Its totient is φ = 75607080960.

The previous prime is 151401515261. The next prime is 151401515299. The reversal of 151401515264 is 462515104151.

It can be written as a sum of positive squares in 2 ways, for example, as 146474598400 + 4926916864 = 382720^2 + 70192^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (151401515261) 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 3 ways as a sum of consecutive naturals, for example, 158417 + ... + 572624.

It is an arithmetic number, because the mean of its divisors is an integer number (8405155395).

Almost surely, 2151401515264 is an apocalyptic number.

It is an amenable number.

151401515264 is a deficient number, since it is larger than the sum of its proper divisors (151184078956).

151401515264 is an frugal number, since it uses more digits than its factorization.

151401515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731866 (or 731852 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 151401515264 in words is "one hundred fifty-one billion, four hundred one million, five hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 809 1618 3236 6472 12944 25888 51776 103552 207104 731041 1462082 2924164 5848328 11696656 23393312 46786624 93573248 187146496 591412169 1182824338 2365648676 4731297352 9462594704 18925189408 37850378816 75700757632 151401515264