Search a number
-
+
113298635520 = 283357191572
BaseRepresentation
bin110100110000100011…
…1111111101100000000
3101211102222101000122000
41221201013333230000
53324013422314040
6124014302544000
711120434340430
oct1514107775400
9354388330560
10113298635520
1144060142874
1219b5b598000
13a8b7a22145
1456ab3262c0
152e319cb130
hex1a611ffb00

113298635520 has 864 divisors, whose sum is σ = 486772876800. Its totient is φ = 24377573376.

The previous prime is 113298635503. The next prime is 113298635531. The reversal of 113298635520 is 25536892311.

113298635520 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 9 + 8 + 635 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 721647282 + ... + 721647438.

Almost surely, 2113298635520 is an apocalyptic number.

113298635520 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 113298635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243386438400).

113298635520 is an abundant number, since it is smaller than the sum of its proper divisors (373474241280).

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

113298635520 is an equidigital number, since it uses as much as digits as its factorization.

113298635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 113298635520 in words is "one hundred thirteen billion, two hundred ninety-eight million, six hundred thirty-five thousand, five hundred twenty".