Search a number
-
+
113652033264 = 243271173140411
BaseRepresentation
bin110100111011000110…
…0000110011011110000
3101212100121100111012100
41221312030012123300
53330224410031024
6124113325300400
711132255225520
oct1516614063360
9355317314170
10113652033264
1144221678820
121a039a04700
13a942cc7a33
145702239680
152e52a367c9
hex1a763066f0

113652033264 has 240 divisors, whose sum is σ = 401987199744. Its totient is φ = 29115417600.

The previous prime is 113652033211. The next prime is 113652033277. The reversal of 113652033264 is 462330256311.

113652033264 is a `hidden beast` number, since 1 + 1 + 365 + 2 + 0 + 33 + 264 = 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 47 ways as a sum of consecutive naturals, for example, 739219 + ... + 879629.

Almost surely, 2113652033264 is an apocalyptic number.

113652033264 is a gapful number since it is divisible by the number (14) 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 113652033264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200993599872).

113652033264 is an abundant number, since it is smaller than the sum of its proper divisors (288335166480).

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

113652033264 is a wasteful number, since it uses less digits than its factorization.

113652033264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140516 (or 140507 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 113652033264 its reverse (462330256311), we get a palindrome (575982289575).

The spelling of 113652033264 in words is "one hundred thirteen billion, six hundred fifty-two million, thirty-three thousand, two hundred sixty-four".