Search a number
-
+
118197054400 = 26521918121481
BaseRepresentation
bin110111000010100010…
…1111110101111000000
3102022002100121111002111
41232011011332233000
53414031421220100
6130144325025104
711353014246145
oct1560505765700
9368070544074
10118197054400
1146144179437
121aaa7b55194
13b1b8805659
145a13b043cc
15311ba696ba
hex1b8517ebc0

118197054400 has 168 divisors, whose sum is σ = 307851667760. Its totient is φ = 44540928000.

The previous prime is 118197054379. The next prime is 118197054407. The reversal of 118197054400 is 4450791811.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118197054407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5491660 + ... + 5513140.

Almost surely, 2118197054400 is an apocalyptic number.

118197054400 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 118197054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153925833880).

118197054400 is an abundant number, since it is smaller than the sum of its proper divisors (189654613360).

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

118197054400 is a wasteful number, since it uses less digits than its factorization.

118197054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21703 (or 21688 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 118197054400 in words is "one hundred eighteen billion, one hundred ninety-seven million, fifty-four thousand, four hundred".