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12631713444 = 2232750125847
BaseRepresentation
bin10111100001110100…
…01010011010100100
31012121022210112021200
423300322022122210
5201332204312234
65445233242500
7625011535620
oct136072123244
935538715250
1012631713444
1153a23002a9
122546403430
131263cb526c
1487b89c180
154dde54d99
hex2f0e8a6a4

12631713444 has 36 divisors (see below), whose sum is σ = 36491617344. Its totient is φ = 3609060912.

The previous prime is 12631713431. The next prime is 12631713449. The reversal of 12631713444 is 44431713621.

12631713444 is a `hidden beast` number, since 1 + 2 + 631 + 7 + 13 + 4 + 4 + 4 = 666.

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

It is a super-2 number, since 2×126317134442 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12631713399 and 12631713408.

It is not an unprimeable number, because it can be changed into a prime (12631713449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25062672 + ... + 25063175.

Almost surely, 212631713444 is an apocalyptic number.

12631713444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12631713444 is an abundant number, since it is smaller than the sum of its proper divisors (23859903900).

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

12631713444 is a wasteful number, since it uses less digits than its factorization.

12631713444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50125864 (or 50125859 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 12631713444 in words is "twelve billion, six hundred thirty-one million, seven hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 50125847 100251694 150377541 200503388 300755082 350880929 451132623 601510164 701761858 902265246 1052642787 1403523716 1804530492 2105285574 3157928361 4210571148 6315856722 12631713444