Search a number
-
+
113836158306720 = 2533527419613631
BaseRepresentation
bin11001111000100010001011…
…110001110100100110100000
3112221001122000121012002121000
4121320202023301310212200
5104410042423011303340
61042035335325432000
732656251060230553
oct3170421361644640
9487048017162530
10113836158306720
11332a9709730683
121092626310b600
134b6991bc58695
1420179b146469a
15d2621682ad30
hex67888bc749a0

113836158306720 has 192 divisors, whose sum is σ = 398571953633280. Its totient is φ = 30345230822400.

The previous prime is 113836158306679. The next prime is 113836158306757. The reversal of 113836158306720 is 27603851638311.

113836158306720 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 36 + 1 + 583 + 0 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7034305 + ... + 16647935.

It is an arithmetic number, because the mean of its divisors is an integer number (2075895591840).

Almost surely, 2113836158306720 is an apocalyptic number.

113836158306720 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 113836158306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199285976816640).

113836158306720 is an abundant number, since it is smaller than the sum of its proper divisors (284735795326560).

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

113836158306720 is a wasteful number, since it uses less digits than its factorization.

113836158306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9616396 (or 9616382 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 113836158306720 in words is "one hundred thirteen trillion, eight hundred thirty-six billion, one hundred fifty-eight million, three hundred six thousand, seven hundred twenty".