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152147237364 = 223217248606597
BaseRepresentation
bin1000110110110010101…
…1101001100111110100
3112112201101212110210100
42031230223221213310
54443044143043424
6153521231154100
713664231115333
oct2155453514764
9475641773710
10152147237364
1159586170391
12255a1975930
1311469399105
147514a15d1a
153e57377dc9
hex236cae99f4

152147237364 has 36 divisors (see below), whose sum is σ = 407217607524. Its totient is φ = 47732466432.

The previous prime is 152147237321. The next prime is 152147237399. The reversal of 152147237364 is 463732741251.

It is a happy number.

152147237364 is a `hidden beast` number, since 1 + 5 + 214 + 7 + 2 + 373 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134175690000 + 17971547364 = 366300^2 + 134058^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124302687 + ... + 124303910.

It is an arithmetic number, because the mean of its divisors is an integer number (11311600209).

Almost surely, 2152147237364 is an apocalyptic number.

It is an amenable number.

152147237364 is an abundant number, since it is smaller than the sum of its proper divisors (255070370160).

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

152147237364 is a wasteful number, since it uses less digits than its factorization.

152147237364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248606624 (or 248606619 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 152147237364 in words is "one hundred fifty-two billion, one hundred forty-seven million, two hundred thirty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 248606597 497213194 745819791 994426388 1491639582 2237459373 2983279164 4226312149 4474918746 8452624298 8949837492 12678936447 16905248596 25357872894 38036809341 50715745788 76073618682 152147237364