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12052177696 = 251331791393
BaseRepresentation
bin10110011100101110…
…11010001100100000
31011002221022001200201
423032113122030200
5144140324141241
65311531554544
7604443551206
oct131627321440
934087261621
1012052177696
11512515a539
1224042bba54
1311a0c031c0
14824921076
154a812a931
hex2ce5da320

12052177696 has 48 divisors (see below), whose sum is σ = 25633823544. Its totient is φ = 5544935424.

The previous prime is 12052177667. The next prime is 12052177723. The reversal of 12052177696 is 69677125021.

It can be written as a sum of positive squares in 4 ways, for example, as 2944147600 + 9108030096 = 54260^2 + 95436^2 .

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, 86176 + ... + 177568.

Almost surely, 212052177696 is an apocalyptic number.

12052177696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12052177696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816911772).

12052177696 is an abundant number, since it is smaller than the sum of its proper divisors (13581645848).

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

12052177696 is a wasteful number, since it uses less digits than its factorization.

12052177696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91733 (or 91725 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 12052177696 in words is "twelve billion, fifty-two million, one hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 317 416 634 1268 2536 4121 5072 8242 10144 16484 32968 65936 91393 131872 182786 365572 731144 1188109 1462288 2376218 2924576 4752436 9504872 19009744 28971581 38019488 57943162 115886324 231772648 376630553 463545296 753261106 927090592 1506522212 3013044424 6026088848 12052177696