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681014016 = 28321717387
BaseRepresentation
bin101000100101110…
…111001100000000
31202110110002121100
4220211313030000
52343314422031
6151324254400
722606344414
oct5045671400
91673402540
10681014016
1131a461a01
121700a1400
13ab122697
1466634d44
153ebc1de6
hex28977300

681014016 has 108 divisors (see below), whose sum is σ = 2079152712. Its totient is φ = 213639168.

The previous prime is 681014003. The next prime is 681014023. The reversal of 681014016 is 610410186.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30475 + ... + 47861.

It is an arithmetic number, because the mean of its divisors is an integer number (19251414).

Almost surely, 2681014016 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 681014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039576356).

681014016 is an abundant number, since it is smaller than the sum of its proper divisors (1398138696).

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

681014016 is a wasteful number, since it uses less digits than its factorization.

681014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17426 (or 17409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 681014016 is about 26096.2452471615. The cubic root of 681014016 is about 879.8028208357.

The spelling of 681014016 in words is "six hundred eighty-one million, fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 17387 19584 34774 39168 52161 69548 104322 139096 156483 208644 278192 295579 312966 417288 556384 591158 625932 834576 886737 1112768 1182316 1251864 1669152 1773474 2225536 2364632 2503728 2660211 3338304 3546948 4451072 4729264 5007456 5320422 6676608 7093896 9458528 10014912 10640844 13353216 14187792 18917056 20029824 21281688 28375584 37834112 40059648 42563376 56751168 75668224 85126752 113502336 170253504 227004672 340507008 681014016