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113667462076 = 22721927612111
BaseRepresentation
bin110100111011100011…
…0111101001110111100
3101212101200101100112211
41221313012331032330
53330242332241301
6124115040110204
711132533325500
oct1516706751674
9355350340484
10113667462076
114422a356703
121a043005364
13a94626a5cc
1457042d4300
152e54083051
hex1a771bd3bc

113667462076 has 108 divisors (see below), whose sum is σ = 244650865536. Its totient is φ = 46068220800.

The previous prime is 113667462067. The next prime is 113667462091. The reversal of 113667462076 is 670264766311.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53844261 + ... + 53846371.

It is an arithmetic number, because the mean of its divisors is an integer number (2265285792).

Almost surely, 2113667462076 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 113667462076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122325432768).

113667462076 is an abundant number, since it is smaller than the sum of its proper divisors (130983403460).

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

113667462076 is a wasteful number, since it uses less digits than its factorization.

113667462076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 113667462076 in words is "one hundred thirteen billion, six hundred sixty-seven million, four hundred sixty-two thousand, seventy-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 761 931 1444 1522 1862 2111 2527 3044 3724 4222 5054 5327 8444 10108 10654 14459 14777 17689 21308 28918 29554 35378 37289 40109 57836 59108 70756 74578 80218 101213 103439 149156 160436 202426 206878 274721 280763 404852 413756 549442 561526 708491 762071 1098884 1123052 1416982 1524142 1606471 1923047 1965341 2833964 3048284 3212942 3846094 3930682 5334497 6425884 7692188 7861364 10668994 11245297 13461329 21337988 22490594 26922658 30522949 37341479 44981188 53845316 61045898 74682958 78717079 122091796 149365916 157434158 213660643 314868316 427321286 579936031 854642572 1159872062 1495624501 2319744124 2991249002 4059552217 5982498004 8119104434 16238208868 28416865519 56833731038 113667462076