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680060531176 = 231329313720397
BaseRepresentation
bin10011110010101101100…
…01000011000111101000
32102000100120212102122121
421321112301003013220
542120230443444201
61240225425201024
7100063351065235
oct11712661030750
92360316772577
10680060531176
11242459493644
12ab972a90174
134c18b496c90
1424cb509878c
1512a537e69a1
hex9e56c431e8

680060531176 has 64 divisors (see below), whose sum is σ = 1425091323600. Its totient is φ = 302082213888.

The previous prime is 680060531123. The next prime is 680060531197. The reversal of 680060531176 is 671135060086.

It can be written as a sum of positive squares in 8 ways, for example, as 1621672900 + 678438858276 = 40270^2 + 823674^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583810 + ... + 1304206.

Almost surely, 2680060531176 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 680060531176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712545661800).

680060531176 is an abundant number, since it is smaller than the sum of its proper divisors (745030792424).

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

680060531176 is a wasteful number, since it uses less digits than its factorization.

680060531176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720758 (or 720754 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 680060531176 in words is "six hundred eighty billion, sixty million, five hundred thirty-one thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 313 377 626 754 1252 1508 2504 3016 4069 8138 9077 16276 18154 32552 36308 72616 118001 236002 472004 720397 944008 1440794 2881588 5763176 9365161 18730322 20891513 37460644 41783026 74921288 83566052 167132104 225484261 271589669 450968522 543179338 901937044 1086358676 1803874088 2172717352 2931295393 5862590786 6539043569 11725181572 13078087138 23450363144 26156174276 52312348552 85007566397 170015132794 340030265588 680060531176