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113518642350 = 23526119516359
BaseRepresentation
bin110100110111000111…
…1010000010010101110
3101212000022100112021010
41221232033100102232
53324441233023400
6124052202250050
711126045352651
oct1515617202256
9355008315233
10113518642350
11441633501a3
121a0011b6926
13a9214929b9
1456cc635898
152e45e88450
hex1a6e3d04ae

113518642350 has 96 divisors (see below), whose sum is σ = 286333102080. Its totient is φ = 29755440000.

The previous prime is 113518642343. The next prime is 113518642387. The reversal of 113518642350 is 53246815311.

It is a junction number, because it is equal to n+sod(n) for n = 113518642299 and 113518642308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17848471 + ... + 17854829.

It is an arithmetic number, because the mean of its divisors is an integer number (2982636480).

Almost surely, 2113518642350 is an apocalyptic number.

113518642350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113518642350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143166551040).

113518642350 is an abundant number, since it is smaller than the sum of its proper divisors (172814459730).

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

113518642350 is a wasteful number, since it uses less digits than its factorization.

113518642350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 113518642350 in words is "one hundred thirteen billion, five hundred eighteen million, six hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1525 1830 1951 3050 3902 4575 5853 6359 9150 9755 11706 12718 19077 19510 29265 31795 38154 48775 58530 63590 95385 97550 119011 146325 158975 190770 238022 292650 317950 357033 387899 476925 595055 714066 775798 953850 1163697 1190110 1785165 1939495 2327394 2975275 3570330 3878990 5818485 5950550 8925825 9697475 11636970 12406409 17851650 19394950 24812818 29092425 37219227 58184850 62032045 74438454 124064090 186096135 310160225 372192270 620320450 756790949 930480675 1513581898 1860961350 2270372847 3783954745 4540745694 7567909490 11351864235 18919773725 22703728470 37839547450 56759321175 113518642350