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116143472106 = 2342961405277
BaseRepresentation
bin110110000101010110…
…0001011110111101010
3102002210020102200210000
41230022230023313222
53400330212101411
6125204445403430
711251100136564
oct1541254136752
9362706380700
10116143472106
114528aa64692
121a614269576
13ac4c21a4bc
14589b09c334
15304b620956
hex1b0ab0bdea

116143472106 has 80 divisors (see below), whose sum is σ = 273635600040. Its totient is φ = 36766638720.

The previous prime is 116143472089. The next prime is 116143472111. The reversal of 116143472106 is 601274341611.

116143472106 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 434 + 7 + 210 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72729999225 + 43413472881 = 269685^2 + 208359^2 .

It is a super-2 number, since 2×1161434721062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83940 + ... + 489216.

Almost surely, 2116143472106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116143472106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136817800020).

116143472106 is an abundant number, since it is smaller than the sum of its proper divisors (157492127934).

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

116143472106 is a wasteful number, since it uses less digits than its factorization.

116143472106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405381 (or 405372 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 116143472106 in words is "one hundred sixteen billion, one hundred forty-three million, four hundred seventy-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 61 81 87 122 162 174 183 261 366 522 549 783 1098 1566 1647 1769 2349 3294 3538 4698 4941 5307 9882 10614 15921 31842 47763 95526 143289 286578 405277 810554 1215831 2431662 3647493 7294986 10942479 11753033 21884958 23506066 24721897 32827437 35259099 49443794 65654874 70518198 74165691 105777297 148331382 211554594 222497073 317331891 444994146 634663782 667491219 716935013 951995673 1334982438 1433870026 1903991346 2002473657 2150805039 4004947314 4301610078 6452415117 12904830234 19357245351 38714490702 58071736053 116143472106