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253072013922 = 2327213213032
BaseRepresentation
bin1110101110110001000…
…1000111101001100010
3220012020000122022222200
43223230101013221202
513121242413421142
6312132031314030
724166234424400
oct3535421075142
9805200568880
10253072013922
1198366610832
124106937b916
131ab31668800
14c36a802470
1568b288564c
hex3aec447a62

253072013922 has 162 divisors, whose sum is σ = 691214460417. Its totient is φ = 66693043872.

The previous prime is 253072013899. The next prime is 253072013933. The reversal of 253072013922 is 229310270352.

It is a happy number.

253072013922 is a `hidden beast` number, since 2 + 530 + 7 + 20 + 13 + 92 + 2 = 666.

253072013922 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 216384059241 + 36687954681 = 465171^2 + 191541^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=355719.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 194221923 + ... + 194223225.

Almost surely, 2253072013922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253072013922

253072013922 is an abundant number, since it is smaller than the sum of its proper divisors (438142446495).

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

253072013922 is a wasteful number, since it uses less digits than its factorization.

253072013922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 253072013922 in words is "two hundred fifty-three billion, seventy-two million, thirteen thousand, nine hundred twenty-two".