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13896574922160 = 243657241831429
BaseRepresentation
bin1100101000111000110001…
…1010010110110110110000
31211012111111012101122000000
43022032030122112312300
53310140141140002120
645315555352430000
72632665036606300
oct312161432266660
954174435348000
1013896574922160
114478560295947
1216852ba9a8300
1379a59797ac38
14360852593600
15191736155990
hexca38c696db0

13896574922160 has 1680 divisors, whose sum is σ = 58461852889440. Its totient is φ = 3059409346560.

The previous prime is 13896574922137. The next prime is 13896574922189. The reversal of 13896574922160 is 6122947569831.

13896574922160 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 65 + 7 + 492 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×138965749221602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9724684326 + ... + 9724685754.

It is an arithmetic number, because the mean of its divisors is an integer number (34798721958).

It is a 1-persistent number, because it is pandigital, but 2⋅13896574922160 = 27793149844320 is not.

Almost surely, 213896574922160 is an apocalyptic number.

13896574922160 is a gapful number since it is divisible by the number (10) 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 13896574922160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29230926444720).

13896574922160 is an abundant number, since it is smaller than the sum of its proper divisors (44565277967280).

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

13896574922160 is a wasteful number, since it uses less digits than its factorization.

13896574922160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 13896574922160 in words is "thirteen trillion, eight hundred ninety-six billion, five hundred seventy-four million, nine hundred twenty-two thousand, one hundred sixty".