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13964337639252 = 2232711131923121117
BaseRepresentation
bin1100101100110101001101…
…1000100110111101010100
31211102222101200220022200200
43023031103120212331110
53312242430413424002
645411043402540500
72640614206316250
oct313152330467524
954388350808620
1013964337639252
1144a4273603180
121696470507730
137a3aa673c040
14363c3ddc5260
151933a0132b1c
hexcb353626f54

13964337639252 has 1296 divisors, whose sum is σ = 51731692661376. Its totient is φ = 3066810854400.

The previous prime is 13964337639251. The next prime is 13964337639293. The reversal of 13964337639252 is 25293673346931.

13964337639252 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 4 + 3 + 376 + 3 + 9 + 252 = 666.

It is a super-2 number, since 2×139643376392522 (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 a self number, because there is not a number n which added to its sum of digits gives 13964337639252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13964337639251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12501644598 + ... + 12501645714.

Almost surely, 213964337639252 is an apocalyptic number.

13964337639252 is a gapful number since it is divisible by the number (12) 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 13964337639252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25865846330688).

13964337639252 is an abundant number, since it is smaller than the sum of its proper divisors (37767355022124).

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

13964337639252 is a wasteful number, since it uses less digits than its factorization.

13964337639252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1203 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 63.

The spelling of 13964337639252 in words is "thirteen trillion, nine hundred sixty-four billion, three hundred thirty-seven million, six hundred thirty-nine thousand, two hundred fifty-two".