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23487096960 = 2736550341
BaseRepresentation
bin10101110111111100…
…001010100010000000
32020121212010011000000
4111313330022202000
5341100144100320
614442334000000
71461014013225
oct256774124200
966555104000
1023487096960
119a62943638
124675946000
1322a3c77212
1411cb48594c
15926e79c90
hex577f0a880

23487096960 has 224 divisors, whose sum is σ = 84186423180. Its totient is φ = 6263101440.

The previous prime is 23487096937. The next prime is 23487096977. The reversal of 23487096960 is 6969078432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23453084736 + 34012224 = 153144^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23487096897 and 23487096906.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 441390 + ... + 491730.

Almost surely, 223487096960 is an apocalyptic number.

23487096960 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 23487096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42093211590).

23487096960 is an abundant number, since it is smaller than the sum of its proper divisors (60699326220).

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

23487096960 is an frugal number, since it uses more digits than its factorization.

23487096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50378 (or 50351 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 23487096960 in words is "twenty-three billion, four hundred eighty-seven million, ninety-six thousand, nine hundred sixty".