Search a number
-
+
113393456943552 = 26333173208313921
BaseRepresentation
bin11001110010000101111000…
…101110001001000111000000
3112212111022022222110201111000
4121302011320232021013000
5104330314244434143202
61041100122431052000
732612256366564432
oct3162057056110700
9485438288421430
10113393456943552
11331489933130a5
12108744b3371000
134b36c599c4a56
1420003b6028652
15d199561e691c
hex672178b891c0

113393456943552 has 448 divisors, whose sum is σ = 349015531909120. Its totient is φ = 36057548390400.

The previous prime is 113393456943499. The next prime is 113393456943553. The reversal of 113393456943552 is 255349654393311.

113393456943552 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 9 + 34 + 5 + 6 + 9 + 43 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113393456943552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113393456943553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8145489552 + ... + 8145503472.

Almost surely, 2113393456943552 is an apocalyptic number.

113393456943552 is a gapful number since it is divisible by the number (12) 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 113393456943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174507765954560).

113393456943552 is an abundant number, since it is smaller than the sum of its proper divisors (235622074965568).

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

113393456943552 is a wasteful number, since it uses less digits than its factorization.

113393456943552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16129 (or 16113 counting only the distinct ones).

The product of its digits is 157464000, while the sum is 63.

The spelling of 113393456943552 in words is "one hundred thirteen trillion, three hundred ninety-three billion, four hundred fifty-six million, nine hundred forty-three thousand, five hundred fifty-two".