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14623832641 = 112197613493
BaseRepresentation
bin11011001111010010…
…11111101001000001
31101202011022200002011
431213221133221001
5214422200121031
610415035252521
71025251345405
oct154751375101
941664280064
1014623832641
116224854a00
122a015aa141
1314c0930512
149ca2a5105
155a8cac6b1
hex367a5fa41

14623832641 has 12 divisors (see below), whose sum is σ = 16155750996. Its totient is φ = 13226887520.

The previous prime is 14623832627. The next prime is 14623832659.

14623832641 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 11476622641 + 3147210000 = 107129^2 + 56100^2 .

It is a de Polignac number, because none of the positive numbers 2k-14623832641 is a prime.

It is a super-2 number, since 2×146238326412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14623832594 and 14623832603.

It is not an unprimeable number, because it can be changed into a prime (14623832941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282910 + ... + 330583.

It is an arithmetic number, because the mean of its divisors is an integer number (1346312583).

Almost surely, 214623832641 is an apocalyptic number.

14623832641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14623832641 is a deficient number, since it is larger than the sum of its proper divisors (1531918355).

14623832641 is a wasteful number, since it uses less digits than its factorization.

14623832641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613712 (or 613701 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The spelling of 14623832641 in words is "fourteen billion, six hundred twenty-three million, eight hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 11 121 197 2167 23837 613493 6748423 74232653 120858121 1329439331 14623832641