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104126836824 = 23342234671543
BaseRepresentation
bin110000011111001110…
…0010111000001011000
3100221202210000101010000
41200332130113001120
53201222432234244
6115500223253000
710344234336513
oct1407634270130
9327683011100
10104126836824
114018398074a
121821ba4a160
139a857acc1a
14507b18dd7a
152a966b6169
hex183e717058

104126836824 has 160 divisors (see below), whose sum is σ = 293777003520. Its totient is φ = 34456964544.

The previous prime is 104126836783. The next prime is 104126836837. The reversal of 104126836824 is 428638621401.

104126836824 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 268 + 368 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104126836824.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 67482597 + ... + 67484139.

It is an arithmetic number, because the mean of its divisors is an integer number (1836106272).

Almost surely, 2104126836824 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 104126836824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146888501760).

104126836824 is an abundant number, since it is smaller than the sum of its proper divisors (189650166696).

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

104126836824 is a wasteful number, since it uses less digits than its factorization.

104126836824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 104126836824 in words is "one hundred four billion, one hundred twenty-six million, eight hundred thirty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 324 446 467 648 669 892 934 1338 1401 1543 1784 1868 2007 2676 2802 3086 3736 4014 4203 4629 5352 5604 6021 6172 8028 8406 9258 11208 12042 12344 12609 13887 16056 16812 18063 18516 24084 25218 27774 33624 36126 37032 37827 41661 48168 50436 55548 72252 75654 83322 100872 104141 111096 124983 144504 151308 166644 208282 249966 302616 312423 333288 344089 416564 499932 624846 688178 720581 833128 937269 999864 1032267 1249692 1376356 1441162 1874538 2064534 2161743 2499384 2752712 2811807 2882324 3096801 3749076 4129068 4323486 5623614 5764648 6193602 6485229 7498152 8258136 8435421 8646972 9290403 11247228 12387204 12970458 16870842 17293944 18580806 19455687 22494456 24774408 25940916 27871209 33741684 37161612 38911374 51881832 55742418 58367061 67483368 74323224 77822748 111484836 116734122 155645496 160689563 222969672 233468244 321379126 466936488 482068689 642758252 964137378 1285516504 1446206067 1928274756 2892412134 3856549512 4338618201 5784824268 8677236402 11569648536 13015854603 17354472804 26031709206 34708945608 52063418412 104126836824