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12046308462816 = 253161897751089
BaseRepresentation
bin1010111101001011111111…
…1011111101000011100000
31120122121121221121202101220
42233102333323331003200
53034331314431302231
641341555301055040
72352213516316125
oct257227773750340
946577557552356
1012046308462816
1139248a1098381
1214267a43b7480
13694c6770c984
142d9089d3274c
1515d543671896
hexaf4bfefd0e0

12046308462816 has 48 divisors (see below), whose sum is σ = 31623517069200. Its totient is φ = 4015187601408.

The previous prime is 12046308462779. The next prime is 12046308462847. The reversal of 12046308462816 is 61826480364021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×120463084628162 (a number of 27 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, 2321401 + ... + 5429688.

It is an arithmetic number, because the mean of its divisors is an integer number (658823272275).

Almost surely, 212046308462816 is an apocalyptic number.

12046308462816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12046308462816 is an abundant number, since it is smaller than the sum of its proper divisors (19577208606384).

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

12046308462816 is a wasteful number, since it uses less digits than its factorization.

12046308462816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767291 (or 7767283 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 12046308462816 in words is "twelve trillion, forty-six billion, three hundred eight million, four hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 16189 32378 48567 64756 97134 129512 194268 259024 388536 518048 777072 1554144 7751089 15502178 23253267 31004356 46506534 62008712 93013068 124017424 186026136 248034848 372052272 744104544 125482379821 250964759642 376447139463 501929519284 752894278926 1003859038568 1505788557852 2007718077136 3011577115704 4015436154272 6023154231408 12046308462816