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104078266185632 = 251710316311395577
BaseRepresentation
bin10111101010100010011100…
…000101011011011110100000
3111122111210012022122102000212
4113222202130011123132200
5102120204242120420012
61005204521224433252
730631256313561524
oct2752423405333640
9448453168572025
10104078266185632
1130187387a46492
12b80b094918828
13460c6ccabaa0b
141b9b5b4921d84
15c074ab915b22
hex5ea89c15b7a0

104078266185632 has 96 divisors (see below), whose sum is σ = 220407617469312. Its totient is φ = 48204927442944.

The previous prime is 104078266185613. The next prime is 104078266185661. The reversal of 104078266185632 is 236581662870401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3435428 + ... + 14831004.

It is an arithmetic number, because the mean of its divisors is an integer number (2295912681972).

Almost surely, 2104078266185632 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 104078266185632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110203808734656).

104078266185632 is an abundant number, since it is smaller than the sum of its proper divisors (116329351283680).

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

104078266185632 is a wasteful number, since it uses less digits than its factorization.

104078266185632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11395870 (or 11395862 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 104078266185632 in words is "one hundred four trillion, seventy-eight billion, two hundred sixty-six million, one hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 103 136 163 206 272 326 412 544 652 824 1304 1648 1751 2608 2771 3296 3502 5216 5542 7004 11084 14008 16789 22168 28016 33578 44336 56032 67156 88672 134312 268624 285413 537248 570826 1141652 2283304 4566608 9133216 11395577 22791154 45582308 91164616 182329232 193724809 364658464 387449618 774899236 1173744431 1549798472 1857479051 2347488862 3099596944 3714958102 4694977724 6199193888 7429916204 9389955448 14859832408 18779910896 19953655327 29719664816 31577143867 37559821792 39907310654 59439329632 63154287734 79814621308 126308575468 159629242616 191320342253 252617150936 319258485232 382640684506 505234301872 638516970464 765281369012 1010468603744 1530562738024 3061125476048 3252445818301 6122250952096 6504891636602 13009783273204 26019566546408 52039133092816 104078266185632