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82714467204 = 22328925816001
BaseRepresentation
bin100110100001000101…
…0101001101110000100
321220111111212021222100
41031002022221232010
52323344400422304
6101555402032100
75655512241105
oct1150212515604
9256444767870
1082714467204
1132096184506
1214044aa8630
137a52615525
1440094963ac
152241960439
hex13422a9b84

82714467204 has 36 divisors (see below), whose sum is σ = 211433056380. Its totient is φ = 27261696000.

The previous prime is 82714467179. The next prime is 82714467281. The reversal of 82714467204 is 40276441728.

It can be written as a sum of positive squares in 2 ways, for example, as 11399832900 + 71314634304 = 106770^2 + 267048^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82714467204.

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, 12904797 + ... + 12911204.

It is an arithmetic number, because the mean of its divisors is an integer number (5873140455).

Almost surely, 282714467204 is an apocalyptic number.

It is an amenable number.

82714467204 is an abundant number, since it is smaller than the sum of its proper divisors (128718589176).

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

82714467204 is a wasteful number, since it uses less digits than its factorization.

82714467204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25816100 (or 25816095 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 82714467204 in words is "eighty-two billion, seven hundred fourteen million, four hundred sixty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 25816001 51632002 77448003 103264004 154896006 232344009 309792012 464688018 929376036 2297624089 4595248178 6892872267 9190496356 13785744534 20678616801 27571489068 41357233602 82714467204