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12393281287488 = 2634710313333679
BaseRepresentation
bin1011010001011000100100…
…1000001111010101000000
31121212210020002012111220010
42310112021020033111000
53111022420002144423
642205221140544520
72416246030546263
oct264261110172500
947783202174803
1012393281287488
113a48a63216032
121481a989b2140
136bb8b20a069a
1430bba3726cda
1516759ea64693
hexb458920f540

12393281287488 has 112 divisors (see below), whose sum is σ = 33813359124480. Its totient is φ = 4003943499264.

The previous prime is 12393281287393. The next prime is 12393281287529. The reversal of 12393281287488 is 88478218239321.

It is a super-3 number, since 3×123932812874883 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5737368 + ... + 7596311.

Almost surely, 212393281287488 is an apocalyptic number.

It is an amenable number.

12393281287488 is an abundant number, since it is smaller than the sum of its proper divisors (21420077836992).

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

12393281287488 is a wasteful number, since it uses less digits than its factorization.

12393281287488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333844 (or 13333834 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 66.

The spelling of 12393281287488 in words is "twelve trillion, three hundred ninety-three billion, two hundred eighty-one million, two hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 103 141 188 192 206 282 309 376 412 564 618 752 824 1128 1236 1504 1648 2256 2472 3008 3296 4512 4841 4944 6592 9024 9682 9888 14523 19364 19776 29046 38728 58092 77456 116184 154912 232368 309824 464736 929472 13333679 26667358 40001037 53334716 80002074 106669432 160004148 213338864 320008296 426677728 626682913 640016592 853355456 1253365826 1280033184 1373368937 1880048739 2506731652 2560066368 2746737874 3760097478 4120106811 5013463304 5493475748 7520194956 8240213622 10026926608 10986951496 15040389912 16480427244 20053853216 21973902992 30080779824 32960854488 40107706432 43947805984 60161559648 64548340039 65921708976 87895611968 120323119296 129096680078 131843417952 193645020117 258193360156 263686835904 387290040234 516386720312 774580080468 1032773440624 1549160160936 2065546881248 3098320321872 4131093762496 6196640643744 12393281287488