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238223638154007 = 32112732996636831
BaseRepresentation
bin110110001010100111000011…
…010101000100101100010111
31011020110221211221100112201200
4312022213003111010230113
5222211024002331412012
62202354232322323543
7101115042554665212
oct6612470325045427
91136427757315650
10238223638154007
11699a6094295800
12228754064b95b3
13a2c051496770c
1442b812ac98779
151c81b245ba3dc
hexd8a9c3544b17

238223638154007 has 36 divisors (see below), whose sum is σ = 383407696107072. Its totient is φ = 142400182161600.

The previous prime is 238223638153997. The next prime is 238223638154069. The reversal of 238223638154007 is 700451836322832.

238223638154007 is a `hidden beast` number, since 2 + 3 + 8 + 223 + 6 + 3 + 8 + 1 + 5 + 400 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-238223638154007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238223638154077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1498238919 + ... + 1498397912.

It is an arithmetic number, because the mean of its divisors is an integer number (10650213780752).

Almost surely, 2238223638154007 is an apocalyptic number.

238223638154007 is a deficient number, since it is larger than the sum of its proper divisors (145184057953065).

238223638154007 is a wasteful number, since it uses less digits than its factorization.

238223638154007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996636932 (or 2996636918 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 238223638154007 in words is "two hundred thirty-eight trillion, two hundred twenty-three billion, six hundred thirty-eight million, one hundred fifty-four thousand, seven".

Divisors: 1 3 9 11 33 73 99 121 219 363 657 803 1089 2409 7227 8833 26499 79497 2996636831 8989910493 26969731479 32963005141 98889015423 218754488663 296667046269 362593056551 656263465989 1087779169653 1968790397967 2406299375293 3263337508959 7218898125879 21656694377637 26469293128223 79407879384669 238223638154007