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12999854626632 = 2332180553536481
BaseRepresentation
bin1011110100101100001110…
…1101111001011101001000
31201000202220012221210111200
42331023003231321131020
53200442200241023012
643352014544424200
72511131342061336
oct275130355713510
951022805853450
1012999854626632
114162231038615
12155b561018060
13733b5b819383
1432d2a69c2b56
15178251a1d3dc
hexbd2c3b79748

12999854626632 has 24 divisors (see below), whose sum is σ = 35207939613990. Its totient is φ = 4333284875520.

The previous prime is 12999854626529. The next prime is 12999854626639. The reversal of 12999854626632 is 23662645899921.

It is a happy number.

12999854626632 is a `hidden beast` number, since 1 + 29 + 9 + 9 + 8 + 546 + 26 + 6 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11203520231556 + 1796334395076 = 3347166^2 + 1340274^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×129998546266322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 180553536481 = 12999854626632 / (1 + 2 + 9 + 9 + 9 + 8 + 5 + 4 + 6 + 2 + 6 + 6 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (12999854626639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90276768169 + ... + 90276768312.

Almost surely, 212999854626632 is an apocalyptic number.

12999854626632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12999854626632 is an abundant number, since it is smaller than the sum of its proper divisors (22208084987358).

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

12999854626632 is a wasteful number, since it uses less digits than its factorization.

12999854626632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180553536493 (or 180553536486 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 12999854626632 in words is "twelve trillion, nine hundred ninety-nine billion, eight hundred fifty-four million, six hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 180553536481 361107072962 541660609443 722214145924 1083321218886 1444428291848 1624981828329 2166642437772 3249963656658 4333284875544 6499927313316 12999854626632