Search a number
-
+
113707499919552 = 26327211172953107131
BaseRepresentation
bin11001110110101010010111…
…001001000001100011000000
3112220121022221011201211210100
4121312222113021001203000
5104400440424434411202
61041500300534002400
732644044564050100
oct3166522711014300
9486538834654710
10113707499919552
113325a0973a1090
12109053377a6400
134b5a756ccb7c6
14201168822d200
15d22bd667741c
hex676a972418c0

113707499919552 has 4032 divisors, whose sum is σ = 469448960048640. Its totient is φ = 25886962483200.

The previous prime is 113707499919551. The next prime is 113707499919553. The reversal of 113707499919552 is 255919994707311.

113707499919552 is a `hidden beast` number, since 1 + 1 + 3 + 70 + 7 + 499 + 9 + 19 + 5 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (113707499919551) and next prime (113707499919553).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (113707499919551) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 867996182527 + ... + 867996182657.

Almost surely, 2113707499919552 is an apocalyptic number.

113707499919552 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 113707499919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234724480024320).

113707499919552 is an abundant number, since it is smaller than the sum of its proper divisors (355741460129088).

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

113707499919552 is a wasteful number, since it uses less digits than its factorization.

113707499919552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 192893400, while the sum is 72.

The spelling of 113707499919552 in words is "one hundred thirteen trillion, seven hundred seven billion, four hundred ninety-nine million, nine hundred nineteen thousand, five hundred fifty-two".