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12984715346112 = 2632191186468873
BaseRepresentation
bin1011110011110011110101…
…0110001000000011000000
31200222022211010201122212100
42330330331112020003000
53200220144112033422
643341032413230400
72510054231236266
oct274747526100300
950868733648770
1012984715346112
114156872336034
121558636a92400
137325b8185613
1432c66c0a4436
15177b678957ac
hexbcf3d5880c0

12984715346112 has 84 divisors (see below), whose sum is σ = 39177202219480. Its totient is φ = 4100436421632.

The previous prime is 12984715346077. The next prime is 12984715346117. The reversal of 12984715346112 is 21164351748921.

12984715346112 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 4 + 7 + 15 + 3 + 4 + 611 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12984715346117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593223493 + ... + 593245380.

Almost surely, 212984715346112 is an apocalyptic number.

12984715346112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12984715346112 is an abundant number, since it is smaller than the sum of its proper divisors (26192486873368).

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

12984715346112 is a wasteful number, since it uses less digits than its factorization.

12984715346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186468910 (or 1186468897 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 12984715346112 in words is "twelve trillion, nine hundred eighty-four billion, seven hundred fifteen million, three hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 1186468873 2372937746 3559406619 4745875492 7118813238 9491750984 10678219857 14237626476 18983501968 21356439714 22542908587 28475252952 37967003936 42712879428 45085817174 56950505904 67628725761 75934007872 85425758856 90171634348 113901011808 135257451522 170851517712 180343268696 202886177283 227802023616 270514903044 341703035424 360686537392 405772354566 541029806088 683406070848 721373074784 811544709132 1082059612176 1442746149568 1623089418264 2164119224352 3246178836528 4328238448704 6492357673056 12984715346112