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7685540268 = 22371740913159
BaseRepresentation
bin1110010100001100…
…00000100110101100
3201211121200220020120
413022012000212230
5111214444242033
63310343444540
7361312004640
oct71206004654
921747626216
107685540268
11329431817a
1215a5a56750
13956351883
1452ca0cc20
152eead21b3
hex1ca1809ac

7685540268 has 96 divisors (see below), whose sum is σ = 21755059200. Its totient is φ = 2061490176.

The previous prime is 7685540267. The next prime is 7685540287. The reversal of 7685540268 is 8620455867.

It is a happy number.

It is a super-2 number, since 2×76855402682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 7685540268.

It is not an unprimeable number, because it can be changed into a prime (7685540267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577473 + ... + 590631.

It is an arithmetic number, because the mean of its divisors is an integer number (226615200).

Almost surely, 27685540268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7685540268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877529600).

7685540268 is an abundant number, since it is smaller than the sum of its proper divisors (14069518932).

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

7685540268 is a wasteful number, since it uses less digits than its factorization.

7685540268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13599 (or 13597 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The square root of 7685540268 is about 87667.2131871431. The cubic root of 7685540268 is about 1973.4439716724.

The spelling of 7685540268 in words is "seven billion, six hundred eighty-five million, five hundred forty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 409 476 714 818 1227 1428 1636 2454 2863 4908 5726 6953 8589 11452 13159 13906 17178 20859 26318 27812 34356 39477 41718 48671 52636 78954 83436 92113 97342 146013 157908 184226 194684 223703 276339 292026 368452 447406 552678 584052 671109 894812 1105356 1342218 1565921 2684436 3131842 4697763 5382031 6263684 9395526 10764062 16146093 18791052 21528124 32292186 37674217 64584372 75348434 91494527 113022651 150696868 182989054 226045302 274483581 365978108 452090604 548967162 640461689 1097934324 1280923378 1921385067 2561846756 3842770134 7685540268