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82194217993368 = 23321387814335463
BaseRepresentation
bin10010101100000101010101…
…001010101000010010011000
3101210000200122101010012002200
4102230011111022220102120
541233132224301241433
6450451300311130200
723212223226252255
oct2254052512502230
9353020571105080
1082194217993368
112420a410292a48
129275959373960
1336b2b5c863c50
14164231566042c
159780d8463613
hex4ac1552a8498

82194217993368 has 48 divisors (see below), whose sum is σ = 239733135816720. Its totient is φ = 25290528613056.

The previous prime is 82194217993357. The next prime is 82194217993397. The reversal of 82194217993368 is 86339971249128.

82194217993368 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 4 + 2 + 179 + 93 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82194217993296 and 82194217993305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43907166796 + ... + 43907168667.

It is an arithmetic number, because the mean of its divisors is an integer number (4994440329515).

Almost surely, 282194217993368 is an apocalyptic number.

It is an amenable number.

82194217993368 is an abundant number, since it is smaller than the sum of its proper divisors (157538917823352).

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

82194217993368 is a wasteful number, since it uses less digits than its factorization.

82194217993368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87814335488 (or 87814335481 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 82194217993368 in words is "eighty-two trillion, one hundred ninety-four billion, two hundred seventeen million, nine hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 87814335463 175628670926 263443006389 351257341852 526886012778 702514683704 790329019167 1053772025556 1141586361019 1580658038334 2107544051112 2283172722038 3161316076668 3424759083057 4566345444076 6322632153336 6849518166114 9132690888152 10274277249171 13699036332228 20548554498342 27398072664456 41097108996684 82194217993368