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23287960080 = 2434571124243
BaseRepresentation
bin10101101100000100…
…100001001000010000
32020002222101221120000
4111230010201020100
5340143204210310
614410501450000
71453045252230
oct255404411020
966088357500
1023287960080
1199704a0100
12461b110900
132271932a48
1411acc49cc0
159147414c0
hex56c121210

23287960080 has 600 divisors, whose sum is σ = 101628453696. Its totient is φ = 4837916160.

The previous prime is 23287960067. The next prime is 23287960127. The reversal of 23287960080 is 8006978232.

23287960080 is a `hidden beast` number, since 2 + 32 + 8 + 7 + 9 + 600 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5486439 + ... + 5490681.

Almost surely, 223287960080 is an apocalyptic number.

23287960080 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 23287960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50814226848).

23287960080 is an abundant number, since it is smaller than the sum of its proper divisors (78340493616).

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

23287960080 is a wasteful number, since it uses less digits than its factorization.

23287960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 23287960080 in words is "twenty-three billion, two hundred eighty-seven million, nine hundred sixty thousand, eighty".