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112032792369 = 3217265632
BaseRepresentation
bin110100001010110101…
…1001011111100110001
3101201011202110112021100
41220111223023330301
53313420343323434
6123244523315013
711044164010551
oct1502553137461
9351152415240
10112032792369
1143570655103
121986767ba69
13a7456b6224
1455cb177161
152daa7d6699
hex1a15acbf31

112032792369 has 27 divisors (see below), whose sum is σ = 171930416203. Its totient is φ = 70284374592.

The previous prime is 112032792329. The next prime is 112032792439. The reversal of 112032792369 is 963297230211.

The square root of 112032792369 is 334713.

It is a perfect power (a square), and thus also a powerful number.

112032792369 is a `hidden beast` number, since 1 + 12 + 0 + 3 + 279 + 2 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87222762225 + 24810030144 = 295335^2 + 157512^2 .

It is not a de Polignac number, because 112032792369 - 213 = 112032784177 is a prime.

It is a super-2 number, since 2×1120327923692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112032792329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17067082 + ... + 17073644.

Almost surely, 2112032792369 is an apocalyptic number.

112032792369 is the 334713-rd square number.

112032792369 is the 167357-th centered octagonal number.

It is an amenable number.

112032792369 is a deficient number, since it is larger than the sum of its proper divisors (59897623834).

112032792369 is an frugal number, since it uses more digits than its factorization.

112032792369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13166 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

It can be divided in two parts, 112032 and 792369, that added together give a square (904401 = 9512).

The spelling of 112032792369 in words is "one hundred twelve billion, thirty-two million, seven hundred ninety-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 6563 19689 59067 111571 334713 1004139 1896707 5690121 17070363 43072969 129218907 387656721 732240473 2196721419 6590164257 12448088041 37344264123 112032792369