Search a number
-
+
117389923200 = 273252111771307
BaseRepresentation
bin110110101010011111…
…1000001001110000000
3102020000002211222020100
41231110333001032000
53410403310020300
6125532253242400
711324013612024
oct1552477011600
9366002758210
10117389923200
114586a607860
121a901793400
13b0ba526924
145978840384
1530c0c84700
hex1b54fc1380

117389923200 has 1152 divisors, whose sum is σ = 492245994240. Its totient is φ = 26320896000.

The previous prime is 117389923177. The next prime is 117389923201. The reversal of 117389923200 is 2329983711.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117389923201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382377447 + ... + 382377753.

It is an arithmetic number, because the mean of its divisors is an integer number (427296870).

Almost surely, 2117389923200 is an apocalyptic number.

117389923200 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 117389923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246122997120).

117389923200 is an abundant number, since it is smaller than the sum of its proper divisors (374856071040).

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

117389923200 is a wasteful number, since it uses less digits than its factorization.

117389923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 117389923200 in words is "one hundred seventeen billion, three hundred eighty-nine million, nine hundred twenty-three thousand, two hundred".