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82714084061373 = 3225216936445613
BaseRepresentation
bin10010110011101001011111…
…100110010011000010111101
3101211212101111201211201102200
4102303221133212103002331
541320141421004430443
6451530154201142113
723264616053030352
oct2263513746230275
9354771451751380
1082714084061373
112439a934112366
12933a66348a939
13371cb9b6c523b
14165d551064629
159868b31a8dd3
hex4b3a5f9930bd

82714084061373 has 12 divisors (see below), whose sum is σ = 119476376270940. Its totient is φ = 55142502520896.

The previous prime is 82714084061369. The next prime is 82714084061377. The reversal of 82714084061373 is 37316048041728.

82714084061373 is a `hidden beast` number, since 8 + 2 + 7 + 14 + 0 + 8 + 4 + 0 + 613 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (82714084061369) and next prime (82714084061377).

It can be written as a sum of positive squares in 2 ways, for example, as 41791221239769 + 40922862821604 = 6464613^2 + 6397098^2 .

It is not a de Polignac number, because 82714084061373 - 22 = 82714084061369 is a prime.

It is a super-2 number, since 2×827140840613732 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82714084061377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15953286 + ... + 20492327.

It is an arithmetic number, because the mean of its divisors is an integer number (9956364689245).

Almost surely, 282714084061373 is an apocalyptic number.

It is an amenable number.

82714084061373 is a deficient number, since it is larger than the sum of its proper divisors (36762292209567).

82714084061373 is a wasteful number, since it uses less digits than its factorization.

82714084061373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36697788 (or 36697785 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 82714084061373 in words is "eighty-two trillion, seven hundred fourteen billion, eighty-four million, sixty-one thousand, three hundred seventy-three".

Divisors: 1 3 9 252169 756507 2269521 36445613 109336839 328010517 9190453784597 27571361353791 82714084061373