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680748546456 = 233311499574169
BaseRepresentation
bin10011110011111111100…
…01100111100110011000
32102002010112111020012000
421321333301213212120
542123133111441311
61240422003521000
7100116404112546
oct11717761474630
92362115436160
10680748546456
11242781897710
12abb25389160
134c26ab9b304
1424d3c5d2d96
1512a93ded056
hex9e7fc67998

680748546456 has 128 divisors (see below), whose sum is σ = 2067012000000. Its totient is φ = 205873678080.

The previous prime is 680748546437. The next prime is 680748546553. The reversal of 680748546456 is 654645847086.

It is a happy number.

680748546456 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 48 + 546 + 45 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 680748546393 and 680748546402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898540 + ... + 1472708.

It is an arithmetic number, because the mean of its divisors is an integer number (16148531250).

Almost surely, 2680748546456 is an apocalyptic number.

680748546456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680748546456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033506000000).

680748546456 is an abundant number, since it is smaller than the sum of its proper divisors (1386263453544).

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

680748546456 is a wasteful number, since it uses less digits than its factorization.

680748546456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574694 (or 574684 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 680748546456 in words is "six hundred eighty billion, seven hundred forty-eight million, five hundred forty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 499 594 792 998 1188 1497 1996 2376 2994 3992 4491 5489 5988 8982 10978 11976 13473 16467 17964 21956 26946 32934 35928 43912 49401 53892 65868 98802 107784 131736 148203 197604 296406 395208 574169 592812 1148338 1185624 1722507 2296676 3445014 4593352 5167521 6315859 6890028 10335042 12631718 13780056 15502563 18947577 20670084 25263436 31005126 37895154 41340168 50526872 56842731 62010252 75790308 113685462 124020504 151580616 170528193 227370924 286510331 341056386 454741848 573020662 682112772 859530993 1146041324 1364225544 1719061986 2292082648 2578592979 3151613641 3438123972 5157185958 6303227282 6876247944 7735778937 9454840923 10314371916 12606454564 15471557874 18909681846 20628743832 25212909128 28364522769 30943115748 37819363692 56729045538 61886231496 75638727384 85093568307 113458091076 170187136614 226916182152 340374273228 680748546456