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6683716516 = 224129972
BaseRepresentation
bin1100011100110000…
…10110101110100100
3122020210120222102011
412032120112232210
5102142012412031
63023115124004
7324425436661
oct61630265644
918223528364
106683716516
11291a869164
121366443604
13826926559
14475948a68
15291b906b1
hex18e616ba4

6683716516 has 27 divisors (see below), whose sum is σ = 12000779427. Its totient is φ = 3257079360.

The previous prime is 6683716513. The next prime is 6683716517. The reversal of 6683716516 is 6156173866.

It is a happy number.

The square root of 6683716516 is 81754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 171872100 + 6511844416 = 13110^2 + 80696^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6683716516.

It is not an unprimeable number, because it can be changed into a prime (6683716513) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6703330 + ... + 6704326.

Almost surely, 26683716516 is an apocalyptic number.

6683716516 is the 81754-th square number.

It is an amenable number.

6683716516 is a deficient number, since it is larger than the sum of its proper divisors (5317062911).

6683716516 is an frugal number, since it uses more digits than its factorization.

6683716516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 1040 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The cubic root of 6683716516 is about 1883.6751441696.

Multiplying 6683716516 by its sum of digits (49), we get a square (327502109284 = 5722782).

It can be divided in two parts, 668 and 3716516, that added together give a square (3717184 = 19282).

The spelling of 6683716516 in words is "six billion, six hundred eighty-three million, seven hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 4 41 82 164 997 1681 1994 3362 3988 6724 40877 81754 163508 994009 1675957 1988018 3351914 3976036 6703828 40754369 81508738 163017476 1670929129 3341858258 6683716516