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107140380676 = 227192113073109
BaseRepresentation
bin110001111001000010…
…0000111100000000100
3101020112210112021010021
41203302010013200010
53223410414140201
6121115234104524
710512016131610
oct1436204074004
9336483467107
10107140380676
114148aa5185a
121892111b144
13a145c27074
1452854c0340
152bc1032ea1
hex18f2107804

107140380676 has 96 divisors (see below), whose sum is σ = 227439027200. Its totient is φ = 43139537280.

The previous prime is 107140380673. The next prime is 107140380691. The reversal of 107140380676 is 676083041701.

It is a super-2 number, since 2×1071403806762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107140380673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34459810 + ... + 34462918.

Almost surely, 2107140380676 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 107140380676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113719513600).

107140380676 is an abundant number, since it is smaller than the sum of its proper divisors (120298646524).

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

107140380676 is a wasteful number, since it uses less digits than its factorization.

107140380676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 107140380676 in words is "one hundred seven billion, one hundred forty million, three hundred eighty thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 211 266 307 422 532 614 844 1228 1477 2149 2954 3109 4009 4298 5833 5908 6218 8018 8596 11666 12436 16036 21763 23332 28063 40831 43526 56126 59071 64777 81662 87052 112252 118142 129554 163324 236284 259108 413497 453439 655999 826994 906878 954463 1230763 1311998 1653988 1813756 1908926 2461526 2623996 3817852 4591993 4923052 6681241 8615341 9183986 12463981 13362482 17230682 18134797 18367972 24927962 26724964 34461364 36269594 49855924 72539188 87247867 126943579 174495734 201391693 253887158 348991468 402783386 507774316 805566772 1409741851 2819483702 3826442167 5638967404 7652884334 15305768668 26785095169 53570190338 107140380676