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104117991078348 = 223213720913086021
BaseRepresentation
bin10111101011000111011011…
…110111110111100111001100
3111122122120201211001001021200
4113223013123313313213030
5102121332121204001343
61005235051135025500
730634163610600342
oct2753073367674714
9448576654031250
10104117991078348
11301a2212682335
12b81692066b290
134613390b798b0
141b9d4a2759992
15c085341a94d3
hex5eb1dbdf79cc

104117991078348 has 72 divisors (see below), whose sum is σ = 283436332482576. Its totient is φ = 32035850179200.

The previous prime is 104117991078341. The next prime is 104117991078467. The reversal of 104117991078348 is 843870199711401.

104117991078348 is a `hidden beast` number, since 1 + 0 + 41 + 179 + 9 + 10 + 78 + 348 = 666.

It is a super-3 number, since 3×1041179910783483 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (104117991078341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32195578 + ... + 35281598.

Almost surely, 2104117991078348 is an apocalyptic number.

104117991078348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104117991078348 is an abundant number, since it is smaller than the sum of its proper divisors (179318341404228).

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

104117991078348 is a wasteful number, since it uses less digits than its factorization.

104117991078348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158135 (or 3158130 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 104117991078348 in words is "one hundred four trillion, one hundred seventeen billion, nine hundred ninety-one million, seventy-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 72091 144182 216273 288364 432546 648819 865092 937183 1297638 1874366 2595276 2811549 3086021 3748732 5623098 6172042 8434647 9258063 11246196 12344084 16869294 18516126 27774189 33738588 37032252 40118273 55548378 80236546 111096756 120354819 160473092 240709638 361064457 481419276 722128914 1444257828 222474339911 444948679822 667423019733 889897359644 1334846039466 2002269059199 2669692078932 2892166418843 4004538118398 5784332837686 8009076236796 8676499256529 11568665675372 17352998513058 26029497769587 34705997026116 52058995539174 104117991078348