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23807831040 = 210345759139
BaseRepresentation
bin10110001011000011…
…101010110000000000
32021110012122010110000
4112023003222300000
5342224301043130
614534232240000
71501660140060
oct261303526000
967405563400
1023807831040
11a107999924
124745240000
1323255545b6
14121bcd53a0
159451d2260
hex58b0eac00

23807831040 has 880 divisors, whose sum is σ = 99867398400. Its totient is φ = 5311070208.

The previous prime is 23807831011. The next prime is 23807831057. The reversal of 23807831040 is 4013870832.

23807831040 is a `hidden beast` number, since 238 + 0 + 78 + 310 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23807830986 and 23807831004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171279291 + ... + 171279429.

It is an arithmetic number, because the mean of its divisors is an integer number (113485680).

Almost surely, 223807831040 is an apocalyptic number.

23807831040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23807831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49933699200).

23807831040 is an abundant number, since it is smaller than the sum of its proper divisors (76059567360).

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

23807831040 is a wasteful number, since it uses less digits than its factorization.

23807831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 23807831040 in words is "twenty-three billion, eight hundred seven million, eight hundred thirty-one thousand, forty".