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681336751344 = 2431729148119441
BaseRepresentation
bin10011110101000101101…
…01011100010011110000
32102010122112022010121020
421322202311130103300
542130334202020334
61241000215055440
7100140105554604
oct11724265342360
92363575263536
10681336751344
11242a53919757
12b006a371580
134c3329c7242
1424d96789504
1512aca88ae49
hex9ea2d5c4f0

681336751344 has 160 divisors (see below), whose sum is σ = 1929321426240. Its totient is φ = 206231961600.

The previous prime is 681336751339. The next prime is 681336751357. The reversal of 681336751344 is 443157633186.

681336751344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 35036664 + ... + 35056104.

It is an arithmetic number, because the mean of its divisors is an integer number (12058258914).

Almost surely, 2681336751344 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 681336751344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964660713120).

681336751344 is an abundant number, since it is smaller than the sum of its proper divisors (1247984674896).

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

681336751344 is a wasteful number, since it uses less digits than its factorization.

681336751344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20979 (or 20973 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 681336751344 in words is "six hundred eighty-one billion, three hundred thirty-six million, seven hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1481 1972 2958 2962 3944 4443 5916 5924 7888 8886 11832 11848 17772 19441 23664 23696 25177 35544 38882 42949 50354 58323 71088 75531 77764 85898 100708 116646 128847 151062 155528 171796 201416 233292 257694 302124 311056 330497 343592 402832 466584 515388 563789 604248 660994 687184 730133 933168 991491 1030776 1127578 1208496 1321988 1460266 1691367 1982982 2061552 2190399 2255156 2643976 2920532 3382734 3965964 4380798 4510312 5287952 5841064 6765468 7931928 8761596 9020624 9584413 11682128 13530936 15863856 17523192 19168826 27061872 28753239 28792121 35046384 38337652 57506478 57584242 76675304 86376363 115012956 115168484 153350608 172752726 230025912 230336968 345505452 460051824 460673936 489466057 691010904 834971509 978932114 1382021808 1468398171 1669943018 1957864228 2504914527 2936796342 3339886036 3915728456 5009829054 5873592684 6679772072 7831456912 10019658108 11747185368 13359544144 14194515653 20039316216 23494370736 28389031306 40078632432 42583546959 56778062612 85167093918 113556125224 170334187836 227112250448 340668375672 681336751344