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79459716996 = 223211242712
BaseRepresentation
bin100101000000000101…
…0110000111110000100
321121002200110212001100
41022000022300332010
52300213141420441
6100300413300100
75512041310332
oct1120012607604
9247080425040
1079459716996
1130775a36500
1213496a94630
13765421742a
143bbb0d8b52
152100d49cb6
hex12802b0f84

79459716996 has 81 divisors (see below), whose sum is σ = 220827864439. Its totient is φ = 24073064400.

The previous prime is 79459716977. The next prime is 79459717009. The reversal of 79459716996 is 69961795497.

It is a happy number.

The square root of 79459716996 is 281886.

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

79459716996 is a `hidden beast` number, since 7 + 9 + 459 + 7 + 169 + 9 + 6 = 666.

It is a super-2 number, since 2×794597169962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 18602341 + ... + 18606611.

Almost surely, 279459716996 is an apocalyptic number.

79459716996 is the 281886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79459716996

79459716996 is an abundant number, since it is smaller than the sum of its proper divisors (141368147443).

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

79459716996 is a wasteful number, since it uses less digits than its factorization.

79459716996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 4287 counting only the distinct ones).

The product of its digits is 231472080, while the sum is 72.

The spelling of 79459716996 in words is "seventy-nine billion, four hundred fifty-nine million, seven hundred sixteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4271 4356 8542 12813 17084 25626 38439 46981 51252 76878 93962 140943 153756 187924 281886 422829 516791 563772 845658 1033582 1550373 1691316 2067164 3100746 4651119 6201492 9302238 18241441 18604476 36482882 54724323 72965764 109448646 164172969 200655851 218897292 328345938 401311702 601967553 656691876 802623404 1203935106 1805902659 2207214361 2407870212 3611805318 4414428722 6621643083 7223610636 8828857444 13243286166 19864929249 26486572332 39729858498 79459716996