Search a number
-
+
113253257952 = 2532393240479
BaseRepresentation
bin110100101111001101…
…0111001001011100000
3101211022210222121022100
41221132122321023200
53323420313223302
6124010002210400
711116343544342
oct1513632711340
9354283877270
10113253257952
1144037569a4a
1219b48353a00
13a8ab4c4a03
1456a52b3292
152e2ca15d1c
hex1a5e6b92e0

113253257952 has 36 divisors (see below), whose sum is σ = 322063953120. Its totient is φ = 37751085888.

The previous prime is 113253257947. The next prime is 113253257981. The reversal of 113253257952 is 259752352311.

113253257952 is a `hidden beast` number, since 1 + 1 + 3 + 25 + 3 + 2 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 113253257898 and 113253257907.

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 5 ways as a sum of consecutive naturals, for example, 196619952 + ... + 196620527.

It is an arithmetic number, because the mean of its divisors is an integer number (8946220920).

Almost surely, 2113253257952 is an apocalyptic number.

113253257952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113253257952 is an abundant number, since it is smaller than the sum of its proper divisors (208810695168).

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

113253257952 is a wasteful number, since it uses less digits than its factorization.

113253257952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393240495 (or 393240484 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The spelling of 113253257952 in words is "one hundred thirteen billion, two hundred fifty-three million, two hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 393240479 786480958 1179721437 1572961916 2359442874 3145923832 3539164311 4718885748 6291847664 7078328622 9437771496 12583695328 14156657244 18875542992 28313314488 37751085984 56626628976 113253257952