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686006756568 = 233271361124517
BaseRepresentation
bin10011111101110010011…
…00000110010011011000
32102120200222201222102200
421332321030012103120
542214420212202233
61243051441330200
7100363613135310
oct11767114062330
92376628658380
10686006756568
11244a2aa25801
12b0b52336960
134c8c8385543
14252baaaa440
1512ca085b313
hex9fb93064d8

686006756568 has 48 divisors (see below), whose sum is σ = 2123354248080. Its totient is φ = 196001930304.

The previous prime is 686006756563. The next prime is 686006756569. The reversal of 686006756568 is 865657600686.

686006756568 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 0 + 6 + 7 + 565 + 68 = 666.

686006756568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6860067565682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686006756563) 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, 680561755 + ... + 680562762.

It is an arithmetic number, because the mean of its divisors is an integer number (44236546835).

Almost surely, 2686006756568 is an apocalyptic number.

It is an amenable number.

686006756568 is an abundant number, since it is smaller than the sum of its proper divisors (1437347491512).

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

686006756568 is a wasteful number, since it uses less digits than its factorization.

686006756568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361124536 (or 1361124529 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 686006756568 in words is "six hundred eighty-six billion, six million, seven hundred fifty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1361124517 2722249034 4083373551 5444498068 8166747102 9527871619 10888996136 12250120653 16333494204 19055743238 24500241306 28583614857 32666988408 38111486476 49000482612 57167229714 76222972952 85750844571 98000965224 114334459428 171501689142 228668918856 343003378284 686006756568