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12087588864 = 211313151337
BaseRepresentation
bin10110100000111100…
…11111100000000000
31011012101221010200110
423100132133200000
5144223410320424
65315234551320
7605353544601
oct132036374000
934171833613
1012087588864
11514314646a
122414138540
1311a8351160
148294dbda8
154ab2c2c29
hex2d079f800

12087588864 has 96 divisors (see below), whose sum is σ = 34704830160. Its totient is φ = 3719233536.

The previous prime is 12087588859. The next prime is 12087588907. The reversal of 12087588864 is 46888578021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120875888642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 4204 + ... + 155540.

Almost surely, 212087588864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12087588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352415080).

12087588864 is an abundant number, since it is smaller than the sum of its proper divisors (22617241296).

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

12087588864 is a wasteful number, since it uses less digits than its factorization.

12087588864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151375 (or 151355 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 12087588864 in words is "twelve billion, eighty-seven million, five hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4992 6144 6656 9984 13312 19968 26624 39936 79872 151337 302674 454011 605348 908022 1210696 1816044 1967381 2421392 3632088 3934762 4842784 5902143 7264176 7869524 9685568 11804286 14528352 15739048 19371136 23608572 29056704 31478096 38742272 47217144 58113408 62956192 77484544 94434288 116226816 125912384 154969088 188868576 232453632 251824768 309938176 377737152 464907264 503649536 755474304 929814528 1007299072 1510948608 2014598144 3021897216 4029196288 6043794432 12087588864