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985580359696 = 2428328772
BaseRepresentation
bin11100101011110010010…
…10101101000000010000
310111012221210022210122001
432111321022231000100
5112121432033002241
62032434103323344
7131130412555252
oct16257112550020
93435853283561
10985580359696
1134aa89467799
1213b018a50554
1371c2aa5c8ba
14359b9335cd2
151a985890431
hexe5792ad010

985580359696 has 45 divisors (see below), whose sum is σ = 1918520950941. Its totient is φ = 490488952896.

The previous prime is 985580359661. The next prime is 985580359723. The reversal of 985580359696 is 696953085589.

The square root of 985580359696 is 992764.

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

It can be written as a sum of positive squares in only one way, i.e., 830394787600 + 155185572096 = 911260^2 + 393936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1123808410 + ... + 1123809286.

Almost surely, 2985580359696 is an apocalyptic number.

985580359696 is the 992764-th square number.

It is an amenable number.

985580359696 is a deficient number, since it is larger than the sum of its proper divisors (932940591245).

985580359696 is an frugal number, since it uses more digits than its factorization.

985580359696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 73.

The spelling of 985580359696 in words is "nine hundred eighty-five billion, five hundred eighty million, three hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 283 566 877 1132 1754 2264 3508 4528 7016 14032 80089 160178 248191 320356 496382 640712 769129 992764 1281424 1538258 1985528 3076516 3971056 6153032 12306064 70238053 140476106 217663507 280952212 435327014 561904424 870654028 1123808848 1741308056 3482616112 61598772481 123197544962 246395089924 492790179848 985580359696