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23287654137120 = 2535374161524287
BaseRepresentation
bin1010100101110000101000…
…10110100011110100100000
310001110021111122201222211020
411102320110112203310200
511023021103424341440
6121310111200045440
74622322531061122
oct522702426436440
9101407448658736
1023287654137120
11746926971a54a
122741378303880
13ccc029c42919
145a71b2767212
152a5b72e9a3d0
hex152e145a3d20

23287654137120 has 384 divisors, whose sum is σ = 78441571418112. Its totient is φ = 5798183731200.

The previous prime is 23287654137113. The next prime is 23287654137133. The reversal of 23287654137120 is 2173145678232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44155617 + ... + 44679903.

It is an arithmetic number, because the mean of its divisors is an integer number (204274925568).

Almost surely, 223287654137120 is an apocalyptic number.

23287654137120 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 23287654137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39220785709056).

23287654137120 is an abundant number, since it is smaller than the sum of its proper divisors (55153917280992).

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

23287654137120 is a wasteful number, since it uses less digits than its factorization.

23287654137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524444 (or 524436 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 23287654137120 in words is "twenty-three trillion, two hundred eighty-seven billion, six hundred fifty-four million, one hundred thirty-seven thousand, one hundred twenty".