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12831617052 = 2233769154501
BaseRepresentation
bin10111111001101001…
…01111000000011100
31020010020221200111000
423330310233000130
5202234343221202
65521134030300
7632656642152
oct137464570034
936106850430
1012831617052
1154951278a1
1225a1348390
131296537717
1489a2573d2
1550179091c
hex2fcd2f01c

12831617052 has 48 divisors (see below), whose sum is σ = 33310631200. Its totient is φ = 4271616000.

The previous prime is 12831617033. The next prime is 12831617053. The reversal of 12831617052 is 25071613821.

12831617052 is a `hidden beast` number, since 1 + 2 + 8 + 31 + 617 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12831616998 and 12831617016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12831617053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5802 + ... + 160302.

Almost surely, 212831617052 is an apocalyptic number.

12831617052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12831617052 is an abundant number, since it is smaller than the sum of its proper divisors (20479014148).

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

12831617052 is a wasteful number, since it uses less digits than its factorization.

12831617052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155283 (or 155275 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12831617052 in words is "twelve billion, eight hundred thirty-one million, six hundred seventeen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 769 1538 2307 3076 4614 6921 9228 13842 20763 27684 41526 83052 154501 309002 463503 618004 927006 1390509 1854012 2781018 4171527 5562036 8343054 16686108 118811269 237622538 356433807 475245076 712867614 1069301421 1425735228 2138602842 3207904263 4277205684 6415808526 12831617052