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152472317958 = 23290723773929
BaseRepresentation
bin1000111000000000001…
…1101111000000000110
3112120120001120021112100
42032000003233000012
54444230403133313
6154013402532530
714005256214222
oct2160003570006
9476501507470
10152472317958
1159732715234
1225672807146
13114bb8389ac
147545c77782
153e75b8d173
hex23800ef006

152472317958 has 48 divisors (see below), whose sum is σ = 330944262480. Its totient is φ = 50733796608.

The previous prime is 152472317953. The next prime is 152472317969. The reversal of 152472317958 is 859713274251.

152472317958 is a `hidden beast` number, since 1 + 52 + 472 + 3 + 1 + 79 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152472317951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38804938 + ... + 38808866.

It is an arithmetic number, because the mean of its divisors is an integer number (6894672135).

Almost surely, 2152472317958 is an apocalyptic number.

152472317958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

152472317958 is an abundant number, since it is smaller than the sum of its proper divisors (178471944522).

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

152472317958 is a wasteful number, since it uses less digits than its factorization.

152472317958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7218 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 152472317958 in words is "one hundred fifty-two billion, four hundred seventy-two million, three hundred seventeen thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 907 1814 2377 2721 3929 4754 5442 7131 7858 8163 11787 14262 16326 21393 23574 35361 42786 70722 2155939 3563603 4311878 6467817 7127206 9339233 10690809 12935634 18678466 19403451 21381618 28017699 32072427 38806902 56035398 64144854 84053097 168106194 8470684331 16941368662 25412052993 50824105986 76236158979 152472317958