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23112746496 = 293372149229
BaseRepresentation
bin10101100001101000…
…001000011000000000
32012122202201011201000
4111201220020120000
5334313330341441
614341242212000
71445520050400
oct254150103000
965582634630
1023112746496
1198905a7594
1245904b4000
132244546678
14119387a800
159041812b6
hex561a08600

23112746496 has 480 divisors, whose sum is σ = 80469180000. Its totient is φ = 6530678784.

The previous prime is 23112746473. The next prime is 23112746497. The reversal of 23112746496 is 69464721132.

23112746496 is a `hidden beast` number, since 2 + 3 + 112 + 7 + 46 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112746497) 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, 100928910 + ... + 100929138.

It is an arithmetic number, because the mean of its divisors is an integer number (167644125).

Almost surely, 223112746496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23112746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40234590000).

23112746496 is an abundant number, since it is smaller than the sum of its proper divisors (57356433504).

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

23112746496 is a wasteful number, since it uses less digits than its factorization.

23112746496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 23112746496 in words is "twenty-three billion, one hundred twelve million, seven hundred forty-six thousand, four hundred ninety-six".