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680899221984 = 25389208938149
BaseRepresentation
bin10011110100010001100…
…00011001100111100000
32102002112001000100011010
421322020300121213200
542123440200100414
61240444545220520
7100123213615032
oct11721060314740
92362461010133
10680899221984
11242849950443
12abb67931740
134c293175827
1424d54615c52
1512aa2262959
hex9e88c199e0

680899221984 has 96 divisors (see below), whose sum is σ = 1808355780000. Its totient is φ = 224302915584.

The previous prime is 680899221949. The next prime is 680899222007. The reversal of 680899221984 is 489122998086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 17829342 + ... + 17867490.

It is an arithmetic number, because the mean of its divisors is an integer number (18837039375).

Almost surely, 2680899221984 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 680899221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904177890000).

680899221984 is an abundant number, since it is smaller than the sum of its proper divisors (1127456558016).

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

680899221984 is a wasteful number, since it uses less digits than its factorization.

680899221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40340 (or 40332 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 680899221984 in words is "six hundred eighty billion, eight hundred ninety-nine million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2089 2136 2848 4178 4272 6267 8356 8544 12534 16712 25068 33424 38149 50136 66848 76298 100272 114447 152596 185921 200544 228894 305192 371842 457788 557763 610384 743684 915576 1115526 1220768 1487368 1831152 2231052 2974736 3395261 3662304 4462104 5949472 6790522 8924208 10185783 13581044 17848416 20371566 27162088 40743132 54324176 79693261 81486264 108648352 159386522 162972528 239079783 318773044 325945056 478159566 637546088 956319132 1275092176 1912638264 2550184352 3825276528 7092700229 7650553056 14185400458 21278100687 28370800916 42556201374 56741601832 85112402748 113483203664 170224805496 226966407328 340449610992 680899221984