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23920558830 = 23257231374729
BaseRepresentation
bin10110010001110001…
…101100001011101110
32021202001202021220100
4112101301230023232
5342442130340310
614553340331530
71504526252400
oct262161541356
967661667810
1023920558830
11a165593993
124776b43ba6
132342a0342c
14122cc7ab70
1595004cec0
hex591c6c2ee

23920558830 has 288 divisors, whose sum is σ = 76715907840. Its totient is φ = 5147089920.

The previous prime is 23920558819. The next prime is 23920558841. The reversal of 23920558830 is 3885502932.

23920558830 is a `hidden beast` number, since 2 + 3 + 92 + 0 + 558 + 8 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23920558819) and next prime (23920558841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5055906 + ... + 5060634.

It is an arithmetic number, because the mean of its divisors is an integer number (266374680).

Almost surely, 223920558830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23920558830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38357953920).

23920558830 is an abundant number, since it is smaller than the sum of its proper divisors (52795349010).

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

23920558830 is a wasteful number, since it uses less digits than its factorization.

23920558830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 23920558830 in words is "twenty-three billion, nine hundred twenty million, five hundred fifty-eight thousand, eight hundred thirty".