Search a number
-
+
113945604336 = 2437173137167
BaseRepresentation
bin110101000011110101…
…1111111000011110000
3101220010001202110000000
41222013223333003300
53331330033314321
6124202413430000
711142451441044
oct1520753770360
9356101673000
10113945604336
1144362361043
121a10019b300
13a98ba84525
14572d218024
152e6d6c5826
hex1a87aff0f0

113945604336 has 640 divisors, whose sum is σ = 373896069120. Its totient is φ = 33457950720.

The previous prime is 113945604329. The next prime is 113945604379. The reversal of 113945604336 is 633406549311.

It is a happy number.

113945604336 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 4 + 5 + 604 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113945604291 and 113945604300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 682308925 + ... + 682309091.

It is an arithmetic number, because the mean of its divisors is an integer number (584212608).

Almost surely, 2113945604336 is an apocalyptic number.

113945604336 is a gapful number since it is divisible by the number (16) 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 113945604336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186948034560).

113945604336 is an abundant number, since it is smaller than the sum of its proper divisors (259950464784).

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

113945604336 is a wasteful number, since it uses less digits than its factorization.

113945604336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 113945604336 in words is "one hundred thirteen billion, nine hundred forty-five million, six hundred four thousand, three hundred thirty-six".