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152233130304 = 26321913910191
BaseRepresentation
bin1000110111000111001…
…1010011100101000000
3112112221101111021202100
42031301303103211000
54443233140132204
6153533540150400
713666323154143
oct2156163234500
9475841437670
10152233130304
115961a6a6a92
1225606698400
1311481110838
1475221b405a
153e5eb92a39
hex2371cd3940

152233130304 has 84 divisors (see below), whose sum is σ = 459314539840. Its totient is φ = 48073616640.

The previous prime is 152233130297. The next prime is 152233130317. The reversal of 152233130304 is 403031332251.

152233130304 is a `hidden beast` number, since 1 + 5 + 22 + 331 + 3 + 0 + 304 = 666.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6944152 + ... + 6966039.

Almost surely, 2152233130304 is an apocalyptic number.

It is an amenable number.

152233130304 is an abundant number, since it is smaller than the sum of its proper divisors (307081409536).

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

152233130304 is a wasteful number, since it uses less digits than its factorization.

152233130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13910228 (or 13910215 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 152233130304 its reverse (403031332251), we get a palindrome (555264462555).

The spelling of 152233130304 in words is "one hundred fifty-two billion, two hundred thirty-three million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 13910191 27820382 41730573 55640764 83461146 111281528 125191719 166922292 222563056 250383438 264293629 333844584 445126112 500766876 528587258 667689168 792880887 890252224 1001533752 1057174516 1335378336 1585761774 2003067504 2114349032 2378642661 2670756672 3171523548 4006135008 4228698064 4757285322 6343047096 8012270016 8457396128 9514570644 12686094192 16914792256 19029141288 25372188384 38058282576 50744376768 76116565152 152233130304