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104182037584 = 24171923876481
BaseRepresentation
bin110000100000110111…
…0111011110001010000
3100221220121212212022121
41201001232323301100
53201331100200314
6115505514344024
710345504464622
oct1410156736120
9327817785277
10104182037584
1140202053909
121823642b014
139a940695b1
14508463cc12
152a9b46bd24
hex1841bbbc50

104182037584 has 80 divisors (see below), whose sum is σ = 234756938880. Its totient is φ = 44427018240.

The previous prime is 104182037581. The next prime is 104182037591. The reversal of 104182037584 is 485730281401.

It is a self number, because there is not a number n which added to its sum of digits gives 104182037584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104182037581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319377 + ... + 557104.

It is an arithmetic number, because the mean of its divisors is an integer number (2934461736).

Almost surely, 2104182037584 is an apocalyptic number.

It is an amenable number.

104182037584 is an abundant number, since it is smaller than the sum of its proper divisors (130574901296).

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

104182037584 is a wasteful number, since it uses less digits than its factorization.

104182037584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876548 (or 876542 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 104182037584 in words is "one hundred four billion, one hundred eighty-two million, thirty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 68 76 92 136 152 184 272 304 323 368 391 437 646 782 874 1292 1564 1748 2584 3128 3496 5168 6256 6992 7429 14858 29716 59432 118864 876481 1752962 3505924 7011848 14023696 14900177 16653139 20159063 29800354 33306278 40318126 59600708 66612556 80636252 119201416 133225112 161272504 238402832 266450224 283103363 322545008 342704071 383022197 566206726 685408142 766044394 1132413452 1370816284 1532088788 2264826904 2741632568 3064177576 4529653808 5483265136 6128355152 6511377349 13022754698 26045509396 52091018792 104182037584