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13893917751 = 3271924148163
BaseRepresentation
bin11001111000010010…
…00101110000110111
31022212021212011002100
430330021011300313
5211423320332001
610214402513143
71001206231560
oct147411056067
938767764070
1013893917751
11598a83305a
1228390657b3
131405648b0c
1495b381167
15564b7b586
hex33c245c37

13893917751 has 48 divisors (see below), whose sum is σ = 24243831040. Its totient is φ = 7490154240.

The previous prime is 13893917747. The next prime is 13893917759. The reversal of 13893917751 is 15771939831.

13893917751 is a `hidden beast` number, since 138 + 9 + 391 + 77 + 51 = 666.

13893917751 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13893917751 - 22 = 13893917747 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13893917759) 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 47 ways as a sum of consecutive naturals, for example, 264396 + ... + 312558.

Almost surely, 213893917751 is an apocalyptic number.

13893917751 is a deficient number, since it is larger than the sum of its proper divisors (10349913289).

13893917751 is a wasteful number, since it uses less digits than its factorization.

13893917751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48436 (or 48433 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 54.

The spelling of 13893917751 in words is "thirteen billion, eight hundred ninety-three million, nine hundred seventeen thousand, seven hundred fifty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 241 399 723 1197 1687 2169 4579 5061 13737 15183 32053 41211 48163 96159 144489 288477 337141 433467 915097 1011423 2745291 3034269 6405679 8235873 11607283 19217037 34821849 57651111 81250981 104465547 220538377 243752943 661615131 731258829 1543768639 1984845393 4631305917 13893917751