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681336656 = 2471113192239
BaseRepresentation
bin101000100111000…
…101111101010000
31202111001111011222
4220213011331100
52343410233111
6151335224212
722612160150
oct5047057520
91674044158
10681336656
1131a662350
12170218068
13ab2064b0
14666ba760
153ec377db
hex289c5f50

681336656 has 160 divisors (see below), whose sum is σ = 1866547200. Its totient is φ = 232035840.

The previous prime is 681336619. The next prime is 681336679. The reversal of 681336656 is 656633186.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 303185 + ... + 305423.

It is an arithmetic number, because the mean of its divisors is an integer number (11665920).

Almost surely, 2681336656 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 681336656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933273600).

681336656 is an abundant number, since it is smaller than the sum of its proper divisors (1185210544).

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

681336656 is a wasteful number, since it uses less digits than its factorization.

681336656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2291 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 681336656 is about 26102.4262473817. The cubic root of 681336656 is about 879.9417385671.

The spelling of 681336656 in words is "six hundred eighty-one million, three hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 38 44 52 56 76 77 88 91 104 112 133 143 152 154 176 182 208 209 247 266 286 304 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1232 1456 1463 1672 1729 1976 2002 2128 2239 2288 2717 2926 3344 3458 3952 4004 4478 5434 5852 6916 8008 8956 10868 11704 13832 15673 16016 17912 19019 21736 23408 24629 27664 29107 31346 35824 38038 42541 43472 49258 58214 62692 76076 85082 98516 116428 125384 152152 170164 172403 197032 203749 232856 250768 297787 304304 320177 340328 344806 394064 407498 465712 467951 553033 595574 640354 680656 689612 814996 935902 1106066 1191148 1280708 1379224 1629992 1871804 2212132 2241239 2382296 2561416 2758448 3259984 3275657 3743608 3871231 4424264 4482478 4764592 5122832 6083363 6551314 7487216 7742462 8848528 8964956 12166726 13102628 15484924 17929912 24333452 26205256 30969848 35859824 42583541 48666904 52410512 61939696 85167082 97333808 170334164 340668328 681336656