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113716664412 = 223131796076709
BaseRepresentation
bin110100111101000001…
…0101001100001011100
3101212112002222002110120
41221322002221201130
53330342431230122
6124123554434540
711134001461521
oct1517202514134
9355462862416
10113716664412
114425510209a
121a057592a50
13a953506910
14570aa61148
152e5855175c
hex1a7a0a985c

113716664412 has 96 divisors (see below), whose sum is σ = 287862220800. Its totient is φ = 34731770112.

The previous prime is 113716664387. The next prime is 113716664417. The reversal of 113716664412 is 214466617311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113716664417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16946514 + ... + 16953222.

It is an arithmetic number, because the mean of its divisors is an integer number (2998564800).

Almost surely, 2113716664412 is an apocalyptic number.

113716664412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113716664412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143931110400).

113716664412 is an abundant number, since it is smaller than the sum of its proper divisors (174145556388).

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

113716664412 is a wasteful number, since it uses less digits than its factorization.

113716664412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7513 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

It can be divided in two parts, 113716 and 664412, that added together give a triangular number (778128 = T1247).

The spelling of 113716664412 in words is "one hundred thirteen billion, seven hundred sixteen million, six hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 179 358 537 607 716 1074 1214 1821 2148 2327 2428 3642 4654 6709 6981 7284 7891 9308 13418 13962 15782 20127 23673 26836 27924 31564 40254 47346 80508 87217 94692 108653 174434 217306 261651 325959 348868 434612 523302 651918 1046604 1200911 1303836 1412489 2401822 2824978 3602733 4072363 4237467 4803644 5649956 7205466 8144726 8474934 12217089 14410932 15611843 16289452 16949868 24434178 31223686 46835529 48868356 52940719 62447372 93671058 105881438 158822157 187342116 211762876 317644314 635288628 728952977 1457905954 2186858931 2915811908 4373717862 8747435724 9476388701 18952777402 28429166103 37905554804 56858332206 113716664412