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13139271072 = 253245622469
BaseRepresentation
bin11000011110010100…
…10101110110100000
31020220200212010110100
430033022111312200
5203402123133242
610011444102400
7643413650514
oct141712256640
936820763410
1013139271072
115632859914
122668394a00
1313151b5315
148c9060144
1551d7b254c
hex30f295da0

13139271072 has 36 divisors (see below), whose sum is σ = 37364802930. Its totient is φ = 4379756928.

The previous prime is 13139271059. The next prime is 13139271109. The reversal of 13139271072 is 27017293131.

It is a happy number.

13139271072 is a `hidden beast` number, since 1 + 313 + 9 + 271 + 0 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10831813776 + 2307457296 = 104076^2 + 48036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22810947 + ... + 22811522.

Almost surely, 213139271072 is an apocalyptic number.

13139271072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13139271072 is an abundant number, since it is smaller than the sum of its proper divisors (24225531858).

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

13139271072 is a wasteful number, since it uses less digits than its factorization.

13139271072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45622485 (or 45622474 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 13139271072 in words is "thirteen billion, one hundred thirty-nine million, two hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45622469 91244938 136867407 182489876 273734814 364979752 410602221 547469628 729959504 821204442 1094939256 1459919008 1642408884 2189878512 3284817768 4379757024 6569635536 13139271072