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23923952640 = 21035574167
BaseRepresentation
bin10110010001111110…
…101000110000000000
32021202022010201100000
4112101332220300000
5342444012441030
614553541200000
71504600146030
oct262176506000
967668121300
1023923952640
11a1674a1795
124778100000
1323436210c3
14122d4c18c0
159504bd860
hex591fa8c00

23923952640 has 1056 divisors, whose sum is σ = 102145365504. Its totient is φ = 5255331840.

The previous prime is 23923952629. The next prime is 23923952671. The reversal of 23923952640 is 4625932932.

23923952640 is a `hidden beast` number, since 2 + 3 + 92 + 39 + 526 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 357073887 + ... + 357073953.

Almost surely, 223923952640 is an apocalyptic number.

23923952640 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 23923952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072682752).

23923952640 is an abundant number, since it is smaller than the sum of its proper divisors (78221412864).

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

23923952640 is an equidigital number, since it uses as much as digits as its factorization.

23923952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 23923952640 in words is "twenty-three billion, nine hundred twenty-three million, nine hundred fifty-two thousand, six hundred forty".