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13793839731 = 337531377043
BaseRepresentation
bin11001101100010110…
…10100101001110011
31022121022112122212000
430312023110221303
5211222210332411
610200425505043
7665552463120
oct146613245163
938538478760
1013793839731
115939298a51
12280b642183
1313ba9a8959
1494bd6d747
1555aead956
hex3362d4a73

13793839731 has 32 divisors (see below), whose sum is σ = 23795320320. Its totient is φ = 7733467872.

The previous prime is 13793839699. The next prime is 13793839733.

It is a happy number.

13793839731 is a `hidden beast` number, since 137 + 93 + 8 + 397 + 31 = 666.

13793839731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13793839731 - 25 = 13793839699 is a prime.

It is a super-2 number, since 2×137938397312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13793839733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678505 + ... + 698538.

It is an arithmetic number, because the mean of its divisors is an integer number (743603760).

Almost surely, 213793839731 is an apocalyptic number.

13793839731 is a deficient number, since it is larger than the sum of its proper divisors (10001480589).

13793839731 is a wasteful number, since it uses less digits than its factorization.

13793839731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377112 (or 1377106 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The spelling of 13793839731 in words is "thirteen billion, seven hundred ninety-three million, eight hundred thirty-nine thousand, seven hundred thirty-one".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1113 1431 3339 10017 1377043 4131129 9639301 12393387 28917903 37180161 72983279 86753709 218949837 260261127 510882953 656849511 1532648859 1970548533 4597946577 13793839731