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104743306456734 = 231119319912718901
BaseRepresentation
bin10111110100001101110011…
…100100101110111010011110
3111201212100210010020120101210
4113310031303210232322132
5102212103242423103414
61010434224413445250
731030311530606301
oct2764156344567236
9451770703216353
10104743306456734
113041342892a350
12b8b7b554a0826
13465a33649402a
141bc1862c00b38
15c19931744e59
hex5f437392ee9e

104743306456734 has 128 divisors (see below), whose sum is σ = 248569416253440. Its totient is φ = 29070478800000.

The previous prime is 104743306456729. The next prime is 104743306456781. The reversal of 104743306456734 is 437654603347401.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37164684 + ... + 39883584.

It is an arithmetic number, because the mean of its divisors is an integer number (1941948564480).

Almost surely, 2104743306456734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104743306456734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124284708126720).

104743306456734 is an abundant number, since it is smaller than the sum of its proper divisors (143826109796706).

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

104743306456734 is a wasteful number, since it uses less digits than its factorization.

104743306456734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719958.

The product of its (nonzero) digits is 60963840, while the sum is 57.

The spelling of 104743306456734 in words is "one hundred four trillion, seven hundred forty-three billion, three hundred six million, four hundred fifty-six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 991 1023 1178 1254 1767 1982 2046 2973 3534 5946 6479 10901 12958 18829 19437 21802 30721 32703 37658 38874 56487 61442 65406 92163 112974 184326 207119 337931 414238 583699 621357 675862 1013793 1167398 1242714 1751097 2027586 2718901 3502194 5437802 6420689 8156703 12841378 16313406 19262067 29907911 38524134 51659119 59815822 84285931 89723733 103318238 154977357 168571862 179447466 252857793 309954714 505715586 568250309 927145241 1136500618 1601432689 1704750927 1854290482 2694430891 2781435723 3202865378 3409501854 4804298067 5388861782 5562871446 8083292673 9608596134 16166585346 17615759579 29638739801 35231519158 51194186929 52847278737 59277479602 83527357621 88916219403 102388373858 105694557474 153582560787 167054715242 177832438806 250582072863 307165121574 501164145726 563136056219 918800933831 1126272112438 1587019794799 1689408168657 1837601867662 2756402801493 3174039589598 3378816337314 4761059384397 5512805602986 9522118768794 17457217742789 34914435485578 52371653228367 104743306456734