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96379133970864 = 243233720831132721
BaseRepresentation
bin10101111010100000000100…
…000010110100100110110000
3110122020202101120002002110110
4111322200010002310212300
5100113033431244031424
6540551543553301320
726205106533542013
oct2572400402644660
9418222346062413
1096379133970864
1128789185589428
12a986b08b64840
1341a1689a4ca54
1419b2abc75737a
15b22098425c29
hex57a8040b49b0

96379133970864 has 160 divisors (see below), whose sum is σ = 266954701377024. Its totient is φ = 29884669562880.

The previous prime is 96379133970859. The next prime is 96379133970877. The reversal of 96379133970864 is 46807933197369.

It is a super-2 number, since 2×963791339708642 (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, 84520024 + ... + 85652744.

Almost surely, 296379133970864 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 96379133970864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133477350688512).

96379133970864 is an abundant number, since it is smaller than the sum of its proper divisors (170575567406160).

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

96379133970864 is a wasteful number, since it uses less digits than its factorization.

96379133970864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134875 (or 1134869 counting only the distinct ones).

The product of its (nonzero) digits is 1111065984, while the sum is 75.

The spelling of 96379133970864 in words is "ninety-six trillion, three hundred seventy-nine billion, one hundred thirty-three million, nine hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2083 2553 3404 4166 5106 6249 6808 8332 10212 12498 13616 16664 20424 24996 33328 40848 47909 49992 77071 95818 99984 143727 154142 191636 231213 287454 308284 383272 462426 574908 616568 766544 924852 1132721 1149816 1233136 1772633 1849704 2265442 2299632 3398163 3545266 3699408 4530884 5317899 6796326 7090532 9061768 10635798 13592652 14181064 18123536 21271596 26052583 27185304 28362128 41910677 42543192 52105166 54370608 78157749 83821354 85086384 104210332 125732031 156315498 167642708 208420664 251464062 312630996 335285416 416841328 502928124 625261992 670570832 963945571 1005856248 1250523984 1927891142 2011712496 2359457843 2891836713 3855782284 4718915686 5783673426 7078373529 7711564568 9437831372 11567346852 14156747058 15423129136 18875662744 23134693704 28313494116 37751325488 46269387408 54267530389 56626988232 87299940191 108535060778 113253976464 162802591167 174599880382 217070121556 261899820573 325605182334 349199760764 434140243112 523799641146 651210364668 698399521528 868280486224 1047599282292 1302420729336 1396799043056 2007898624393 2095198564584 2604841458672 4015797248786 4190397129168 6023695873179 8031594497572 12047391746358 16063188995144 24094783492716 32126377990288 48189566985432 96379133970864