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112077370426384 = 241137139253948767
BaseRepresentation
bin11001011110111100001011…
…110110100000010000010000
3112200211111021122111112012201
4121132330023312200100100
5104142233423312121014
61034211344433332544
732415215502014056
oct3136741366402020
9480744248445181
10112077370426384
1132790822833520
12106a1418707154
134a6cb09c417cc
141d9680622a1d6
15ce55c9ddae74
hex65ef0bda0410

112077370426384 has 160 divisors (see below), whose sum is σ = 245145109708800. Its totient is φ = 49190396843520.

The previous prime is 112077370426369. The next prime is 112077370426391. The reversal of 112077370426384 is 483624073770211.

It is a super-2 number, since 2×1120773704263842 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2298197169 + ... + 2298245935.

It is an arithmetic number, because the mean of its divisors is an integer number (1532156935680).

Almost surely, 2112077370426384 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 112077370426384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572554854400).

112077370426384 is an abundant number, since it is smaller than the sum of its proper divisors (133067739282416).

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

112077370426384 is a wasteful number, since it uses less digits than its factorization.

112077370426384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51501 (or 51495 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 55.

The spelling of 112077370426384 in words is "one hundred twelve trillion, seventy-seven billion, three hundred seventy million, four hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 139 148 176 278 296 407 556 592 814 1112 1529 1628 2224 2539 3058 3256 5078 5143 6116 6512 10156 10286 12232 20312 20572 24464 27929 40624 41144 48767 55858 56573 82288 93943 97534 111716 113146 187886 195068 223432 226292 352921 375772 390136 446864 452584 536437 705842 751544 780272 905168 1033373 1072874 1411684 1503088 1804379 2066746 2145748 2823368 3608758 3882131 4133492 4291496 5646736 6778613 7217516 7764262 8266984 8582992 13058077 13557226 14435032 15528524 16533968 19848169 26116154 27114452 28870064 31057048 39696338 52232308 54228904 62114096 74564743 79392676 104464616 108457808 123819413 143638847 149129486 158785352 208929232 247638826 250808681 287277694 298258972 317570704 495277652 501617362 574555388 596517944 990555304 1003234724 1149110776 1193035888 1362013543 1981110608 2006469448 2298221552 2724027086 2758895491 4012938896 4581318281 5448054172 5517790982 9162636562 10896108344 11035581964 17210898407 18325273124 21792216688 22071163928 34421796814 36650546248 44142327856 50394501091 68843593628 73301092496 100789002182 137687187256 189319882477 201578004364 275374374512 378639764954 403156008728 636803241059 757279529908 806312017456 1273606482118 1514559059816 2547212964236 3029118119632 5094425928472 7004835651649 10188851856944 14009671303298 28019342606596 56038685213192 112077370426384