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152414122152 = 23313994539377
BaseRepresentation
bin1000110111110010010…
…1101111000010101000
3112120102000001121220010
42031330211233002220
54444121003402102
6154003523331520
714003651443155
oct2157445570250
9476360047803
10152414122152
1159702886926
1225657220ba0
13114ac770cc6
14753c24922c
153e709e4d6c
hex237c96f0a8

152414122152 has 32 divisors (see below), whose sum is σ = 381307752000. Its totient is φ = 50768381184.

The previous prime is 152414122033. The next prime is 152414122153. The reversal of 152414122152 is 251221414251.

152414122152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1524141221522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152414122153) 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 7 ways as a sum of consecutive naturals, for example, 2236113 + ... + 2303264.

It is an arithmetic number, because the mean of its divisors is an integer number (11915867250).

Almost surely, 2152414122152 is an apocalyptic number.

152414122152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152414122152 is an abundant number, since it is smaller than the sum of its proper divisors (228893629848).

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

152414122152 is a wasteful number, since it uses less digits than its factorization.

152414122152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540785 (or 4540781 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The spelling of 152414122152 in words is "one hundred fifty-two billion, four hundred fourteen million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 1399 2798 4197 5596 8394 11192 16788 33576 4539377 9078754 13618131 18157508 27236262 36315016 54472524 108945048 6350588423 12701176846 19051765269 25402353692 38103530538 50804707384 76207061076 152414122152