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23053104792 = 233523229773
BaseRepresentation
bin10101011110000100…
…100111011010011000
32012111121111001200000
4111132010213122120
5334203043323132
614331312013000
71444164105024
oct253604473230
965447431600
1023053104792
11985a970923
124574531160
132235093813
141189993384
158edcee87c
hex55e127698

23053104792 has 288 divisors, whose sum is σ = 70110003600. Its totient is φ = 7087627008.

The previous prime is 23053104733. The next prime is 23053104803. The reversal of 23053104792 is 29740135032.

23053104792 is a `hidden beast` number, since 2 + 30 + 531 + 0 + 4 + 7 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29822518 + ... + 29823290.

Almost surely, 223053104792 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 23053104792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35055001800).

23053104792 is an abundant number, since it is smaller than the sum of its proper divisors (47056898808).

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

23053104792 is a wasteful number, since it uses less digits than its factorization.

23053104792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 830 counting only the distinct ones).

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

The spelling of 23053104792 in words is "twenty-three billion, fifty-three million, one hundred four thousand, seven hundred ninety-two".