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113253430986 = 2351979155251
BaseRepresentation
bin110100101111001101…
…1100011011011001010
3101211022211022101200000
41221132123203123022
53323420334242421
6124010010023430
711116345164663
oct1513633433312
9354284271600
10113253430986
1144037677a53
1219b48417b76
13a8ab5556b7
1456a531a36a
152e2ca4c226
hex1a5e6e36ca

113253430986 has 96 divisors (see below), whose sum is σ = 271256294400. Its totient is φ = 35311302000.

The previous prime is 113253430951. The next prime is 113253430987. The reversal of 113253430986 is 689034352311.

113253430986 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 534 + 30 + 9 + 86 = 666.

It is not an unprimeable number, because it can be changed into a prime (113253430987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651861 + ... + 807111.

It is an arithmetic number, because the mean of its divisors is an integer number (2825586400).

Almost surely, 2113253430986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113253430986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135628147200).

113253430986 is an abundant number, since it is smaller than the sum of its proper divisors (158002863414).

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

113253430986 is a wasteful number, since it uses less digits than its factorization.

113253430986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155366 (or 155354 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 113253430986 in words is "one hundred thirteen billion, two hundred fifty-three million, four hundred thirty thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 79 81 114 158 162 171 237 243 342 474 486 513 711 1026 1422 1501 1539 2133 3002 3078 4266 4503 4617 6399 9006 9234 12798 13509 19197 27018 38394 40527 81054 121581 155251 243162 310502 364743 465753 729486 931506 1397259 2794518 2949769 4191777 5899538 8383554 8849307 12264829 12575331 17698614 24529658 25150662 26547921 36794487 37725993 53095842 73588974 75451986 79643763 110383461 159287526 220766922 233031751 238931289 331150383 466063502 477862578 662300766 699095253 716793867 993451149 1398190506 1433587734 1986902298 2097285759 2980353447 4194571518 5960706894 6291857277 12583714554 18875571831 37751143662 56626715493 113253430986