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13896785093184 = 263471637233939
BaseRepresentation
bin1100101000111001100011…
…1100000110001001000000
31211012112000211212102110000
43022032120330012021000
53310141103440440214
645320032301240000
72633003201204640
oct312163074061100
954175024772400
1013896785093184
114478658995504
121685359263000
1379a5cc3868a6
14360872462520
1519174981d809
hexca398f06240

13896785093184 has 280 divisors, whose sum is σ = 47108303161920. Its totient is φ = 3968067585024.

The previous prime is 13896785093173. The next prime is 13896785093189. The reversal of 13896785093184 is 48139058769831.

13896785093184 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 6 + 7 + 8 + 509 + 31 + 84 = 666.

It is a super-2 number, since 2×138967850931842 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13896785093189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59286487 + ... + 59520425.

It is an arithmetic number, because the mean of its divisors is an integer number (168243939864).

Almost surely, 213896785093184 is an apocalyptic number.

13896785093184 is a gapful number since it is divisible by the number (14) 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 13896785093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554151580960).

13896785093184 is an abundant number, since it is smaller than the sum of its proper divisors (33211518068736).

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

13896785093184 is a wasteful number, since it uses less digits than its factorization.

13896785093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235607 (or 235588 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 13896785093184 in words is "thirteen trillion, eight hundred ninety-six billion, seven hundred eighty-five million, ninety-three thousand, one hundred eighty-four".