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680345516032 = 211741329367
BaseRepresentation
bin10011110011001111100…
…00001011100000000000
32102001002110010011101021
421321213300023200000
542121321423003112
61240314005315224
7100103411320000
oct11714760134000
92361073104337
10680345516032
11242595341a16
12aba32405b14
134c205538580
1424d00c80000
1512a6d83b907
hex9e67c0b800

680345516032 has 480 divisors, whose sum is σ = 1772817883200. Its totient is φ = 259158638592.

The previous prime is 680345516023. The next prime is 680345516083. The reversal of 680345516032 is 230615543086.

It is a self number, because there is not a number n which added to its sum of digits gives 680345516032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1853802313 + ... + 1853802679.

It is an arithmetic number, because the mean of its divisors is an integer number (3693370590).

Almost surely, 2680345516032 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 680345516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886408941600).

680345516032 is an abundant number, since it is smaller than the sum of its proper divisors (1092472367168).

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

680345516032 is an equidigital number, since it uses as much as digits as its factorization.

680345516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 680345516032 in words is "six hundred eighty billion, three hundred forty-five million, five hundred sixteen thousand, thirty-two".