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23498493984 = 2534717293771
BaseRepresentation
bin10101111000100111…
…101001000000100000
32020122122120011210000
4111320213221000200
5341111103301414
614443422140000
71461212621550
oct257047510040
966578504700
1023498493984
119a69318369
124679721600
1322a6437914
1411ccbb1160
15927e7bb09
hex5789e9020

23498493984 has 960 divisors, whose sum is σ = 90100200960. Its totient is φ = 5852528640.

The previous prime is 23498493943. The next prime is 23498494007. The reversal of 23498493984 is 48939489432.

23498493984 is a `hidden beast` number, since 23 + 49 + 8 + 493 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 330964669 + ... + 330964739.

It is an arithmetic number, because the mean of its divisors is an integer number (93854376).

Almost surely, 223498493984 is an apocalyptic number.

23498493984 is a gapful number since it is divisible by the number (24) 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 23498493984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45050100480).

23498493984 is an abundant number, since it is smaller than the sum of its proper divisors (66601706976).

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

23498493984 is a wasteful number, since it uses less digits than its factorization.

23498493984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 23498493984 in words is "twenty-three billion, four hundred ninety-eight million, four hundred ninety-three thousand, nine hundred eighty-four".