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23494523040 = 2535531101193
BaseRepresentation
bin10101111000011000…
…011111100010100000
32020122101002102200000
4111320120133202200
5341104044214130
614443201100000
71461134102502
oct257030374240
966571072600
1023494523040
119a6705599a
124678327600
1322a5677351
1411cc459d72
15927945260
hex57861f8a0

23494523040 has 576 divisors, whose sum is σ = 87125455872. Its totient is φ = 5971968000.

The previous prime is 23494523021. The next prime is 23494523077. The reversal of 23494523040 is 4032549432.

23494523040 is a `hidden beast` number, since 2 + 3 + 4 + 94 + 523 + 0 + 40 = 666.

It is a super-2 number, since 2×234945230402 (a number of 22 digits) contains 22 as substring.

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 = 23494522986 and 23494523004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121733184 + ... + 121733376.

It is an arithmetic number, because the mean of its divisors is an integer number (151259472).

Almost surely, 223494523040 is an apocalyptic number.

23494523040 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 23494523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43562727936).

23494523040 is an abundant number, since it is smaller than the sum of its proper divisors (63630932832).

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

23494523040 is a wasteful number, since it uses less digits than its factorization.

23494523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23494523040 in words is "twenty-three billion, four hundred ninety-four million, five hundred twenty-three thousand, forty".