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82704764444868 = 2236112909251197
BaseRepresentation
bin10010110011100000110100…
…000110110010000011000100
3101211211111110020100011000000
4102303200310012302003010
541320013324144213433
6451522013321321300
723264136106425636
oct2263406406620304
9354744406304000
1082704764444868
1124396991469565
1293388a2336230
13371c044969467
14165cd09410a56
15986519de6113
hex4b38341b20c4

82704764444868 has 84 divisors (see below), whose sum is σ = 217003524043180. Its totient is φ = 27567900904896.

The previous prime is 82704764444867. The next prime is 82704764444941. The reversal of 82704764444868 is 86844446740728.

It is a happy number.

82704764444868 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 47 + 64 + 44 + 486 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57393078975684 + 25311685469184 = 7575822^2 + 5031072^2 .

It is a super-2 number, since 2×827047644448682 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82704764444796 and 82704764444805.

It is not an unprimeable number, because it can be changed into a prime (82704764444867) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 329117046 + ... + 329368242.

Almost surely, 282704764444868 is an apocalyptic number.

It is an amenable number.

82704764444868 is an abundant number, since it is smaller than the sum of its proper divisors (134298759598312).

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

82704764444868 is a wasteful number, since it uses less digits than its factorization.

82704764444868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364128 (or 364111 counting only the distinct ones).

The product of its (nonzero) digits is 1849688064, while the sum is 72.

The spelling of 82704764444868 in words is "eighty-two trillion, seven hundred four billion, seven hundred sixty-four million, four hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 112909 225818 251197 338727 451636 502394 677454 753591 1004788 1016181 1354908 1507182 2032362 2260773 3014364 3048543 4064724 4521546 6097086 6782319 9043092 9145629 12194172 13564638 18291258 20346957 27129276 27436887 36582516 40693914 54873774 61040871 81387828 82310661 109747548 122081742 164621322 183122613 244163484 329242644 366245226 732490452 28362402073 56724804146 85087206219 113449608292 170174412438 255261618657 340348824876 510523237314 765784855971 1021046474628 1531569711942 2297354567913 3063139423884 4594709135826 6892063703739 9189418271652 13784127407478 20676191111217 27568254814956 41352382222434 82704764444868