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111604769329 = 37290292
BaseRepresentation
bin110011111110000101…
…0011010001000110001
3101200001221001201001011
41213330022122020301
53312031310104304
6123134233310521
711030445613144
oct1477412321061
9350057051034
10111604769329
1143370a8a059
1219768265441
13a6a7b12761
14558a39a05b
152d82e39c04
hex19fc29a231

111604769329 has 9 divisors (see below), whose sum is σ = 114715342497. Its totient is φ = 108576397584.

The previous prime is 111604769323. The next prime is 111604769357. The reversal of 111604769329 is 923967406111.

The square root of 111604769329 is 334073.

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

It can be written as a sum of positive squares in 4 ways, for example, as 96829880625 + 14774888704 = 311175^2 + 121552^2 .

It is not a de Polignac number, because 111604769329 - 221 = 111602672177 is a prime.

It is a super-2 number, since 2×1116047693292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111604769323) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12356187 + ... + 12365215.

Almost surely, 2111604769329 is an apocalyptic number.

111604769329 is the 334073-rd square number.

111604769329 is the 167037-th centered octagonal number.

It is an amenable number.

111604769329 is a deficient number, since it is larger than the sum of its proper divisors (3110573168).

111604769329 is an frugal number, since it uses more digits than its factorization.

111604769329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18132 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 111604769329 by its sum of digits (49), we get a square (5468633697121 = 23385112).

The spelling of 111604769329 in words is "one hundred eleven billion, six hundred four million, seven hundred sixty-nine thousand, three hundred twenty-nine".

Divisors: 1 37 1369 9029 334073 12360701 81522841 3016345117 111604769329