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1347116634656 = 251328111524061
BaseRepresentation
bin10011100110100110011…
…010001001001000100000
311202210010212121111011222
4103212212122021020200
5134032343324302111
62510505024354212
7166216543315232
oct23464632111040
94683125544158
101347116634656
1147a344248181
121990b6775968
139a05669bb10
14492b4d94252
15250955b47db
hex139a6689220

1347116634656 has 48 divisors (see below), whose sum is σ = 2866310796888. Its totient is φ = 619533465600.

The previous prime is 1347116634607. The next prime is 1347116634667. The reversal of 1347116634656 is 6564366117431.

It can be written as a sum of positive squares in 4 ways, for example, as 843612858256 + 503503776400 = 918484^2 + 709580^2 .

It is a super-3 number, since 3×13471166346563 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1347116634598 and 1347116634607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5645135 + ... + 5878926.

Almost surely, 21347116634656 is an apocalyptic number.

1347116634656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1347116634656 is an abundant number, since it is smaller than the sum of its proper divisors (1519194162232).

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

1347116634656 is a wasteful number, since it uses less digits than its factorization.

1347116634656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524365 (or 11524357 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 53.

The spelling of 1347116634656 in words is "one trillion, three hundred forty-seven billion, one hundred sixteen million, six hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 281 416 562 1124 2248 3653 4496 7306 8992 14612 29224 58448 116896 11524061 23048122 46096244 92192488 149812793 184384976 299625586 368769952 599251172 1198502344 2397004688 3238261141 4794009376 6476522282 12953044564 25906089128 42097394833 51812178256 84194789666 103624356512 168389579332 336779158664 673558317328 1347116634656