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13264080362478 = 232111923931473383
BaseRepresentation
bin1100000100000100100011…
…0011000101101111101110
31201222000220120021220120100
43001001020303011233232
53214304314033044403
644113233455131530
72536204163552541
oct301011063055756
951860816256510
1013264080362478
1142542a0630750
1215a2801813ba6
13752a49bb252a
1433bdb086c858
151800686aa2a3
hexc1048cc5bee

13264080362478 has 96 divisors (see below), whose sum is σ = 33015352930560. Its totient is φ = 3806276123520.

The previous prime is 13264080362453. The next prime is 13264080362483. The reversal of 13264080362478 is 87426308046231.

13264080362478 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 4 + 0 + 8 + 0 + 3 + 624 + 7 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8265775 + ... + 9739157.

It is an arithmetic number, because the mean of its divisors is an integer number (343909926360).

Almost surely, 213264080362478 is an apocalyptic number.

13264080362478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13264080362478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507676465280).

13264080362478 is an abundant number, since it is smaller than the sum of its proper divisors (19751272568082).

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

13264080362478 is a wasteful number, since it uses less digits than its factorization.

13264080362478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475814 (or 1475811 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 13264080362478 in words is "thirteen trillion, two hundred sixty-four billion, eighty million, three hundred sixty-two thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 2393 3762 4786 7179 14358 21537 26323 43074 45467 52646 78969 90934 136401 157938 236907 272802 409203 473814 500137 818406 1000274 1473383 1500411 2946766 3000822 4420149 4501233 8840298 9002466 13260447 16207213 26520894 27994277 32414426 48621639 55988554 83982831 97243278 145864917 167965662 251948493 291729834 307937047 503896986 615874094 923811141 1847622282 2771433423 3525805519 5542866846 7051611038 10577416557 21154833114 31732249671 38783860709 63464499342 66990304861 77567721418 116351582127 133980609722 200970914583 232703164254 349054746381 401941829166 602912743749 698109492762 736893353471 1205825487498 1473786706942 2210680060413 4421360120826 6632040181239 13264080362478