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152346331116 = 223371011995211
BaseRepresentation
bin1000110111100010001…
…1001000011111101100
3112120020021111111002000
42031320203020133230
54444001130043431
6153553102332300
714002166306520
oct2157043103754
9476207444060
10152346331116
1159678594481
122563858a090
131149b6c6a75
14753323dd80
153e69aa39e6
hex23788c87ec

152346331116 has 96 divisors (see below), whose sum is σ = 455866037760. Its totient is φ = 43096536000.

The previous prime is 152346331099. The next prime is 152346331199. The reversal of 152346331116 is 611133643251.

152346331116 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 4 + 633 + 1 + 1 + 16 = 666.

152346331116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921250 + ... + 1073961.

It is an arithmetic number, because the mean of its divisors is an integer number (4748604560).

Almost surely, 2152346331116 is an apocalyptic number.

It is an amenable number.

152346331116 is an abundant number, since it is smaller than the sum of its proper divisors (303519706644).

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

152346331116 is a wasteful number, since it uses less digits than its factorization.

152346331116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995332 (or 1995324 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 152346331116 its reverse (611133643251), we get a palindrome (763479974367).

The spelling of 152346331116 in words is "one hundred fifty-two billion, three hundred forty-six million, three hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 606 707 756 909 1212 1414 1818 2121 2727 2828 3636 4242 5454 6363 8484 10908 12726 19089 25452 38178 76356 1995211 3990422 5985633 7980844 11971266 13966477 17956899 23942532 27932954 35913798 41899431 53870697 55865908 71827596 83798862 107741394 125698293 167597724 201516311 215482788 251396586 377094879 403032622 502793172 604548933 754189758 806065244 1209097866 1410614177 1508379516 1813646799 2418195732 2821228354 3627293598 4231842531 5440940397 5642456708 7254587196 8463685062 10881880794 12695527593 16927370124 21763761588 25391055186 38086582779 50782110372 76173165558 152346331116