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23335626132 = 22327213278277
BaseRepresentation
bin10101101110111010…
…010110010110010100
32020020022002122002100
4111232322112112110
5340242410014012
614415323242100
71454164356300
oct255672262624
966208078070
1023335626132
119995397335
124633079330
13227b781a00
1411b52d6d00
15918a098dc
hex56ee96594

23335626132 has 162 divisors, whose sum is σ = 74303121438. Its totient is φ = 6154372224.

The previous prime is 23335626073. The next prime is 23335626137. The reversal of 23335626132 is 23162653332.

23335626132 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 562 + 61 + 32 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2485421316 + 20850204816 = 49854^2 + 144396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23335626137) 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 53 ways as a sum of consecutive naturals, for example, 258978 + ... + 337254.

Almost surely, 223335626132 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 23335626132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37151560719).

23335626132 is an abundant number, since it is smaller than the sum of its proper divisors (50967495306).

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

23335626132 is a wasteful number, since it uses less digits than its factorization.

23335626132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78327 (or 78302 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 23335626132 in words is "twenty-three billion, three hundred thirty-five million, six hundred twenty-six thousand, one hundred thirty-two".