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152982570672 = 243539347369
BaseRepresentation
bin1000111001111001111…
…0001100011010110000
3112121212121200210200000
42032132132030122300
510001302014230142
6154140151230000
714024023252401
oct2163636143260
9477777623600
10152982570672
1159974744698
1225795678300
1311570470689
14759393b9a8
153ea587e14c
hex239e78c6b0

152982570672 has 60 divisors (see below), whose sum is σ = 443995723080. Its totient is φ = 50994188928.

The previous prime is 152982570607. The next prime is 152982570679. The reversal of 152982570672 is 276075289251.

152982570672 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 8 + 2 + 570 + 67 + 2 = 666.

152982570672 is digitally balanced in base 2 and base 3, because in such bases 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 (54).

It is not an unprimeable number, because it can be changed into a prime (152982570679) 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 11 ways as a sum of consecutive naturals, for example, 19669797 + ... + 19677572.

It is an arithmetic number, because the mean of its divisors is an integer number (7399928718).

Almost surely, 2152982570672 is an apocalyptic number.

152982570672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152982570672 is an abundant number, since it is smaller than the sum of its proper divisors (291013152408).

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

152982570672 is an equidigital number, since it uses as much as digits as its factorization.

152982570672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39347392 (or 39347374 counting only the distinct ones).

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

The spelling of 152982570672 in words is "one hundred fifty-two billion, nine hundred eighty-two million, five hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 39347369 78694738 118042107 157389476 236084214 314778952 354126321 472168428 629557904 708252642 944336856 1062378963 1416505284 1888673712 2124757926 2833010568 3187136889 4249515852 5666021136 6374273778 8499031704 9561410667 12748547556 16998063408 19122821334 25497095112 38245642668 50994190224 76491285336 152982570672