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64231233213246 = 23112165391534931
BaseRepresentation
bin11101001101010111111111…
…10101101101001100111110
322102102110001002011112022120
432212223333311231030332
531404331031200310441
6344335230550423410
716346360560013361
oct1646537765551476
9272373032145276
1064231233213246
111951434970a300
12725453a061b66
1329abc966b1058
1411c0b45c9a0d8
15765c06007966
hex3a6affd6d33e

64231233213246 has 48 divisors (see below), whose sum is σ = 141203663457024. Its totient is φ = 19463855994000.

The previous prime is 64231233213167. The next prime is 64231233213271.

64231233213246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64231233213198 and 64231233213207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119806401 + ... + 120341331.

It is an arithmetic number, because the mean of its divisors is an integer number (2941742988688).

Almost surely, 264231233213246 is an apocalyptic number.

64231233213246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64231233213246 is an abundant number, since it is smaller than the sum of its proper divisors (76972430243778).

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

64231233213246 is a wasteful number, since it uses less digits than its factorization.

64231233213246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700349 (or 700338 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 6423123 and 3213246, that added together give a palindrome (9636369).

The spelling of 64231233213246 in words is "sixty-four trillion, two hundred thirty-one billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 165391 330782 496173 534931 992346 1069862 1604793 1819301 3209586 3638602 5457903 5884241 10915806 11768482 17652723 20012311 35305446 40024622 60036933 64726651 120073866 129453302 194179953 388359906 88472773021 176945546042 265418319063 530836638126 973200503231 1946401006462 2919601509693 5839203019386 10705205535541 21410411071082 32115616606623 64231233213246