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111675604041 = 36123772
BaseRepresentation
bin110100000000001100…
…0100111110001001001
3101200020212100111000000
41220000120213301021
53312202423312131
6123145243433213
711032265654301
oct1500030476111
9350225314000
10111675604041
11433a7a70241
1219787b25809
13a6b96b41a1
145595958601
152d8927cce6
hex1a00627c49

111675604041 has 21 divisors (see below), whose sum is σ = 167450340151. Its totient is φ = 74444387472.

The previous prime is 111675604021. The next prime is 111675604063. The reversal of 111675604041 is 140406576111.

The square root of 111675604041 is 334179.

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

111675604041 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 7 + 5 + 604 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12767870025 + 98907734016 = 112995^2 + 314496^2 .

It is a de Polignac number, because none of the positive numbers 2k-111675604041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111675603987 and 111675604005.

It is not an unprimeable number, because it can be changed into a prime (111675604021) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 9016645 + ... + 9029021.

Almost surely, 2111675604041 is an apocalyptic number.

111675604041 is the 334179-th square number.

111675604041 is the 167090-th centered octagonal number.

It is an amenable number.

111675604041 is a deficient number, since it is larger than the sum of its proper divisors (55774736110).

111675604041 is an frugal number, since it uses more digits than its factorization.

111675604041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24772 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 111675604041 by its sum of digits (36), we get a square (4020321745476 = 20050742).

It can be divided in two parts, 111675 and 604041, that added together give a square (715716 = 8462).

The spelling of 111675604041 in words is "one hundred eleven billion, six hundred seventy-five million, six hundred four thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 12377 37131 111393 334179 1002537 3007611 9022833 153190129 459570387 1378711161 4136133483 12408400449 37225201347 111675604041