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112588428289441 = 1329372608327259
BaseRepresentation
bin11001100110011000001001…
…010001100010010110100001
3112202122100102011000212212211
4121212120021101202112201
5104224122100120230231
61035242224313122121
732500150132123306
oct3146301121422641
9482570364025784
10112588428289441
1132968536660115
12107644849b9341
134aa9073c96300
141db3447ca30ad
15d03a3b6dceb1
hex6666094625a1

112588428289441 has 24 divisors (see below), whose sum is σ = 122054549235360. Its totient is φ = 103809075866496.

The previous prime is 112588428289427. The next prime is 112588428289483. The reversal of 112588428289441 is 144982824885211.

It is not a de Polignac number, because 112588428289441 - 219 = 112588427765153 is a prime.

It is a super-2 number, since 2×1125884282894412 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112588428289241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4130307670 + ... + 4130334928.

It is an arithmetic number, because the mean of its divisors is an integer number (5085606218140).

Almost surely, 2112588428289441 is an apocalyptic number.

It is an amenable number.

112588428289441 is a deficient number, since it is larger than the sum of its proper divisors (9466120945919).

112588428289441 is a wasteful number, since it uses less digits than its factorization.

112588428289441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54305 (or 54292 counting only the distinct ones).

The product of its digits is 94371840, while the sum is 67.

The spelling of 112588428289441 in words is "one hundred twelve trillion, five hundred eighty-eight billion, four hundred twenty-eight million, two hundred eighty-nine thousand, four hundred forty-one".

Divisors: 1 13 169 937 12181 26083 27259 158353 339079 354367 4408027 4606771 24439771 25541683 317717023 332041879 710996497 4130321299 4316544427 9242954461 120158407993 666203717689 8660648329957 112588428289441