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113426760600 = 233252151417317
BaseRepresentation
bin110100110100011000…
…0110000001110011000
3101211202220110110012100
41221220300300032120
53324244222314400
6124035121043400
711123551362066
oct1515060601630
9354686413170
10113426760600
11441164a406a
1219b96486560
13a9084323ba
1456c0359036
152e3cd89100
hex1a68c30398

113426760600 has 144 divisors (see below), whose sum is σ = 383448471120. Its totient is φ = 30046752000.

The previous prime is 113426760589. The next prime is 113426760641. The reversal of 113426760600 is 6067624311.

It is a happy number.

113426760600 is a `hidden beast` number, since 1 + 1 + 3 + 42 + 6 + 7 + 6 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63142 + ... + 480458.

It is an arithmetic number, because the mean of its divisors is an integer number (2662836605).

Almost surely, 2113426760600 is an apocalyptic number.

113426760600 is a gapful number since it is divisible by the number (10) 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 113426760600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191724235560).

113426760600 is an abundant number, since it is smaller than the sum of its proper divisors (270021710520).

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

113426760600 is a wasteful number, since it uses less digits than its factorization.

113426760600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417490 (or 417478 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 113426760600 in words is "one hundred thirteen billion, four hundred twenty-six million, seven hundred sixty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 151 180 200 225 300 302 360 450 453 600 604 755 900 906 1208 1359 1510 1800 1812 2265 2718 3020 3624 3775 4530 5436 6040 6795 7550 9060 10872 11325 13590 15100 18120 22650 27180 30200 33975 45300 54360 67950 90600 135900 271800 417317 834634 1251951 1669268 2086585 2503902 3338536 3755853 4173170 5007804 6259755 7511706 8346340 10015608 10432925 12519510 15023412 16692680 18779265 20865850 25039020 30046824 31298775 37558530 41731700 50078040 62597550 63014867 75117060 83463400 93896325 125195100 126029734 150234120 187792650 189044601 250390200 252059468 315074335 375585300 378089202 504118936 567133803 630148670 751170600 756178404 945223005 1134267606 1260297340 1512356808 1575371675 1890446010 2268535212 2520594680 2835669015 3150743350 3780892020 4537070424 4726115025 5671338030 6301486700 7561784040 9452230050 11342676060 12602973400 14178345075 18904460100 22685352120 28356690150 37808920200 56713380300 113426760600