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23491607040 = 29355113433
BaseRepresentation
bin10101111000001101…
…010111101000000000
32020122011121021200000
4111320031113220000
5341102322411130
614443014400000
71461100236156
oct257015275000
966564537600
1023491607040
119a65444080
124677360000
1322a4b95cc5
1411cbcdb3d6
1592756b260
hex578357a00

23491607040 has 480 divisors, whose sum is σ = 92068232256. Its totient is φ = 5693276160.

The previous prime is 23491606993. The next prime is 23491607047. The reversal of 23491607040 is 4070619432.

23491607040 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 1 + 607 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 23491606986 and 23491607004.

It is not an unprimeable number, because it can be changed into a prime (23491607047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6841164 + ... + 6844596.

Almost surely, 223491607040 is an apocalyptic number.

23491607040 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 23491607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46034116128).

23491607040 is an abundant number, since it is smaller than the sum of its proper divisors (68576625216).

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

23491607040 is an equidigital number, since it uses as much as digits as its factorization.

23491607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23491607040 in words is "twenty-three billion, four hundred ninety-one million, six hundred seven thousand, forty".