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23905469952 = 293371331613
BaseRepresentation
bin10110010000111000…
…001000011000000000
32021201000100200212000
4112100320020120000
5342424300014302
614552041104000
71504254066450
oct262070103000
967630320760
1023905469952
11a158018441
124771a88000
13233c84c4c0
14122ac6dd60
1594da6c31c
hex590e08600

23905469952 has 640 divisors, whose sum is σ = 90047569920. Its totient is φ = 6091407360.

The previous prime is 23905469933. The next prime is 23905470019. The reversal of 23905469952 is 25996450932.

It is a happy number.

23905469952 is a `hidden beast` number, since 2 + 3 + 9 + 0 + 546 + 9 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38997198 + ... + 38997810.

It is an arithmetic number, because the mean of its divisors is an integer number (140699328).

Almost surely, 223905469952 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 23905469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45023784960).

23905469952 is an abundant number, since it is smaller than the sum of its proper divisors (66142099968).

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

23905469952 is a wasteful number, since it uses less digits than its factorization.

23905469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 23905469952 in words is "twenty-three billion, nine hundred five million, four hundred sixty-nine thousand, nine hundred fifty-two".