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152479579252 = 2272112132321503
BaseRepresentation
bin1000111000000001111…
…1011011110001110100
3112120120120020012011011
42032000133123301310
54444234233014002
6154014222322004
714005405016200
oct2160037336164
9476516205134
10152479579252
1159736824800
1225675129304
13114c01abb10
147546c07b00
153e766248d7
hex23807dbc74

152479579252 has 216 divisors, whose sum is σ = 383427330048. Its totient is φ = 52451118720.

The previous prime is 152479579181. The next prime is 152479579253. The reversal of 152479579252 is 252975974251.

152479579252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152479579253) 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 71 ways as a sum of consecutive naturals, for example, 7080333 + ... + 7101835.

It is an arithmetic number, because the mean of its divisors is an integer number (1775126528).

Almost surely, 2152479579252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152479579252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191713665024).

152479579252 is an abundant number, since it is smaller than the sum of its proper divisors (230947750796).

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

152479579252 is a wasteful number, since it uses less digits than its factorization.

152479579252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21579 (or 21559 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 58.

The spelling of 152479579252 in words is "one hundred fifty-two billion, four hundred seventy-nine million, five hundred seventy-nine thousand, two hundred fifty-two".