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23920274560 = 2757133113249
BaseRepresentation
bin10110010001110000…
…100110110010000000
32021202001012211221211
4112101300212302000
5342442042241220
614553330255504
71504523656540
oct262160466200
967661184854
1023920274560
11a16540a356
124776a27594
132342933c20
14122cc05320
1594eee3b5a
hex591c26c80

23920274560 has 256 divisors, whose sum is σ = 72656640000. Its totient is φ = 7325614080.

The previous prime is 23920274527. The next prime is 23920274569. The reversal of 23920274560 is 6547202932.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (23920274569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1798816 + ... + 1812064.

It is an arithmetic number, because the mean of its divisors is an integer number (283815000).

Almost surely, 223920274560 is an apocalyptic number.

23920274560 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 23920274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36328320000).

23920274560 is an abundant number, since it is smaller than the sum of its proper divisors (48736365440).

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

23920274560 is a wasteful number, since it uses less digits than its factorization.

23920274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13319 (or 13307 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 23920274560 in words is "twenty-three billion, nine hundred twenty million, two hundred seventy-four thousand, five hundred sixty".