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18198015625 = 56612313
BaseRepresentation
bin10000111100101011…
…111010111010001001
31201222020202222101201
4100330223322322021
5244232143000000
612205434344201
71212651403066
oct207453727211
951866688351
1018198015625
11779933a539
12363a58b061
1319402715aa
14c48c53c6d
1571796e96a
hex43cafae89

18198015625 has 42 divisors (see below), whose sum is σ = 23200132722. Its totient is φ = 14274000000.

The previous prime is 18198015623. The next prime is 18198015631. The reversal of 18198015625 is 52651089181.

It is a happy number.

It can be written as a sum of positive squares in 21 ways, for example, as 749719161 + 17448296464 = 27381^2 + 132092^2 .

It is not a de Polignac number, because 18198015625 - 21 = 18198015623 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18198015623) 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 41 ways as a sum of consecutive naturals, for example, 58140469 + ... + 58140781.

Almost surely, 218198015625 is an apocalyptic number.

It is an amenable number.

18198015625 is a deficient number, since it is larger than the sum of its proper divisors (5002117097).

18198015625 is an frugal number, since it uses more digits than its factorization.

18198015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 46.

It can be divided in two parts, 1819801 and 5625, that multiplied together give a square (10236380625 = 1011752).

The spelling of 18198015625 in words is "eighteen billion, one hundred ninety-eight million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 305 313 625 1525 1565 3125 3721 7625 7825 15625 18605 19093 38125 39125 93025 95465 190625 195625 465125 477325 953125 978125 1164673 2325625 2386625 4890625 5823365 11628125 11933125 29116825 58140625 59665625 145584125 298328125 727920625 3639603125 18198015625