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152007668307 = 33111932651867
BaseRepresentation
bin1000110110010001011…
…1001111001001010011
3112112100200020122001000
42031210113033021103
54442302430341212
6153455323513043
713660614601425
oct2154427171123
9475320218030
10152007668307
1159514403060
1225563088783
13114464acc81
147500284815
153e49ea91dc
hex23645cf253

152007668307 has 32 divisors (see below), whose sum is σ = 246941948160. Its totient is φ = 91648488960.

The previous prime is 152007668303. The next prime is 152007668321. The reversal of 152007668307 is 703866700251.

152007668307 is a `hidden beast` number, since 15 + 200 + 76 + 68 + 307 = 666.

152007668307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152007668307 - 22 = 152007668303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152007668303) by changing a digit.

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, 1268613 + ... + 1383254.

It is an arithmetic number, because the mean of its divisors is an integer number (7716935880).

Almost surely, 2152007668307 is an apocalyptic number.

152007668307 is a deficient number, since it is larger than the sum of its proper divisors (94934279853).

152007668307 is a wasteful number, since it uses less digits than its factorization.

152007668307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652080 (or 2652074 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 152007668307 in words is "one hundred fifty-two billion, seven million, six hundred sixty-eight thousand, three hundred seven".

Divisors: 1 3 9 11 27 33 99 193 297 579 1737 2123 5211 6369 19107 57321 2651867 7955601 23866803 29170537 71600409 87511611 262534833 511810331 787604499 1535430993 4606292979 5629913641 13818878937 16889740923 50669222769 152007668307