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54763020225 = 3252156012
BaseRepresentation
bin110011000000001000…
…010101111111000001
312020100112021200001100
4303000020111333001
51344123313121400
641054025325013
73646035664044
oct630010257701
9166315250040
1054763020225
112125232a701
12a744036769
1352197973a4
142917144c5b
151657ada100
hexcc0215fc1

54763020225 has 27 divisors (see below), whose sum is σ = 98092941609. Its totient is φ = 29205072000.

The previous prime is 54763020223. The next prime is 54763020239. The reversal of 54763020225 is 52202036745.

The square root of 54763020225 is 234015.

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 8412374961 + 46350645264 = 91719^2 + 215292^2 .

It is not a de Polignac number, because 54763020225 - 21 = 54763020223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54763020225.

It is not an unprimeable number, because it can be changed into a prime (54763020223) 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, 3502425 + ... + 3518025.

Almost surely, 254763020225 is an apocalyptic number.

54763020225 is the 234015-th square number.

54763020225 is the 117008-th centered octagonal number.

It is an amenable number.

54763020225 is a deficient number, since it is larger than the sum of its proper divisors (43329921384).

54763020225 is an frugal number, since it uses more digits than its factorization.

54763020225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31218 (or 15609 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 54763020225 by its sum of digits (36), we get a square (1971468728100 = 14040902).

The spelling of 54763020225 in words is "fifty-four billion, seven hundred sixty-three million, twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 15601 46803 78005 140409 234015 390025 702045 1170075 3510225 243391201 730173603 1216956005 2190520809 3650868015 6084780025 10952604045 18254340075 54763020225