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116644616889276 = 22374125113161563
BaseRepresentation
bin11010100001011001110000…
…111101000110001110111100
3120022000010010220111012110010
4122201121300331012032330
5110242101133410424101
61052025444111543220
733366203226264330
oct3241316075061674
9508003126435403
10116644616889276
1134191782351453
12110ba61222ab10
1350117039c2848
1420b38b57d77c0
15d742da4cc2d6
hex6a1670f463bc

116644616889276 has 144 divisors (see below), whose sum is σ = 318888322817792. Its totient is φ = 32507618595840.

The previous prime is 116644616889271. The next prime is 116644616889323. The reversal of 116644616889276 is 672988616446611.

116644616889276 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 116644616889198 and 116644616889207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116644616889271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721895271 + ... + 722056833.

Almost surely, 2116644616889276 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 116644616889276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159444161408896).

116644616889276 is an abundant number, since it is smaller than the sum of its proper divisors (202243705928516).

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

116644616889276 is a wasteful number, since it uses less digits than its factorization.

116644616889276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166772 (or 166729 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 75.

The spelling of 116644616889276 in words is "one hundred sixteen trillion, six hundred forty-four billion, six hundred sixteen million, eight hundred eighty-nine thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1681 1722 3362 3444 5043 5113 6724 10086 10226 11767 15339 20172 20452 23534 30678 35301 35791 47068 61356 70602 71582 107373 141204 143164 161563 209633 214746 323126 419266 429492 484689 628899 646252 838532 969378 1130941 1257798 1467431 1938756 2261882 2515596 2934862 3392823 4402293 4523764 5869724 6624083 6785646 8594953 8804586 13248166 13571292 17189906 17609172 19872249 25784859 26496332 34379812 39744498 46368581 51569718 60164671 79488996 92737162 103139436 120329342 139105743 180494013 185474324 240658684 271587403 278211486 360988026 543174806 556422972 721976052 814762209 826071619 1086349612 1629524418 1652143238 1901111821 2478214857 3259048836 3304286476 3802223642 4956429714 5703335463 5782501333 7604447284 9912859428 11406670926 11565002666 17347503999 22813341852 23130005332 33868936379 34695007998 67737872758 69390015996 101606809137 135475745516 203213618274 237082554653 406427236548 474165109306 711247663959 948330218612 1388626391539 1422495327918 2777252783078 2844990655836 4165879174617 5554505566156 8331758349234 9720384740773 16663516698468 19440769481546 29161154222319 38881538963092 58322308444638 116644616889276