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116327983626 = 2361910314073
BaseRepresentation
bin110110001010110110…
…0000010101000001010
3102010021002121212000000
41230111230002220022
53401214430434001
6125235040223430
711255500355211
oct1542554025012
9363232555000
10116327983626
1145375128948
121a66600ab76
13ac7b510a0a
1458b77ac078
15305c91aa86
hex1b15b02a0a

116327983626 has 112 divisors (see below), whose sum is σ = 275722453440. Its totient is φ = 36690511680.

The previous prime is 116327983589. The next prime is 116327983633. The reversal of 116327983626 is 626389723611.

116327983626 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 7 + 9 + 8 + 3 + 626 = 666.

It is a super-3 number, since 3×1163279836263 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28558726 + ... + 28562798.

It is an arithmetic number, because the mean of its divisors is an integer number (2461807620).

Almost surely, 2116327983626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116327983626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137861226720).

116327983626 is an abundant number, since it is smaller than the sum of its proper divisors (159394469814).

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

116327983626 is a wasteful number, since it uses less digits than its factorization.

116327983626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5128 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 116327983626 in words is "one hundred sixteen billion, three hundred twenty-seven million, nine hundred eighty-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1031 1458 1539 2062 3078 3093 4073 4617 6186 8146 9234 9279 12219 13851 18558 19589 24438 27702 27837 36657 39178 55674 58767 73314 77387 83511 109971 117534 154774 167022 176301 219942 232161 250533 329913 352602 464322 501066 528903 659826 696483 751599 989739 1057806 1392966 1503198 1586709 1979478 2089449 2969217 3173418 4178898 4199263 4760127 5938434 6268347 8398526 9520254 12536694 12597789 14280381 18805041 25195578 28560762 37610082 37793367 56415123 75586734 79785997 112830246 113380101 159571994 226760202 239357991 340140303 478715982 680280606 718073973 1020420909 1436147946 2040841818 2154221919 3061262727 4308443838 6122525454 6462665757 12925331514 19387997271 38775994542 58163991813 116327983626