Search a number
-
+
116742332224 = 267242538753
BaseRepresentation
bin110110010111001100…
…0101001111101000000
3102011022222021221102101
41230232120221331000
53403042014112344
6125344121200144
711301661310500
oct1545630517500
9364288257371
10116742332224
1145568004101
121a760930054
13b0163072bb
145916829a00
153083eb59d4
hex1b2e629f40

116742332224 has 84 divisors (see below), whose sum is σ = 269576856324. Its totient is φ = 50014949376.

The previous prime is 116742332167. The next prime is 116742332233. The reversal of 116742332224 is 422233247611.

It can be written as a sum of positive squares in 2 ways, for example, as 56112134400 + 60630197824 = 236880^2 + 246232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13333032 + ... + 13341784.

Almost surely, 2116742332224 is an apocalyptic number.

116742332224 is a gapful number since it is divisible by the number (14) 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 116742332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134788428162).

116742332224 is an abundant number, since it is smaller than the sum of its proper divisors (152834524100).

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

116742332224 is an equidigital number, since it uses as much as digits as its factorization.

116742332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13015 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

Adding to 116742332224 its reverse (422233247611), we get a palindrome (538975579835).

The spelling of 116742332224 in words is "one hundred sixteen billion, seven hundred forty-two million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4253 8506 8753 17012 17506 29771 34024 35012 59542 61271 68048 70024 119084 122542 136096 140048 208397 238168 245084 272192 280096 416794 428897 476336 490168 560192 833588 857794 952672 980336 1667176 1715588 1905344 1960672 3334352 3431176 3921344 6668704 6862352 13337408 13724704 27449408 37226509 74453018 148906036 260585563 297812072 521171126 595624144 1042342252 1191248288 1824098941 2084684504 2382496576 3648197882 4169369008 7296395764 8338738016 14592791528 16677476032 29185583056 58371166112 116742332224