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14746459225 = 5214921632
BaseRepresentation
bin11011011101111010…
…10001110001011001
31102001201001202010111
431232331101301121
5220200043143400
610435135444321
71031300556331
oct155675216131
942051052114
1014746459225
116287aa0093
122a366866a1
131510166b24
149dc6a60c1
155b49313ba
hex36ef51c59

14746459225 has 27 divisors (see below), whose sum is σ = 18522787773. Its totient is φ = 11646102240.

The previous prime is 14746459171. The next prime is 14746459229. The reversal of 14746459225 is 52295464741.

The square root of 14746459225 is 121435.

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 4401128281 + 10345330944 = 66341^2 + 101712^2 .

It is not a de Polignac number, because 14746459225 - 213 = 14746451033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14746459229) 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, 90468994 + ... + 90469156.

Almost surely, 214746459225 is an apocalyptic number.

14746459225 is the 121435-th square number.

14746459225 is the 60718-th centered octagonal number.

It is an amenable number.

14746459225 is a deficient number, since it is larger than the sum of its proper divisors (3776328548).

14746459225 is an frugal number, since it uses more digits than its factorization.

14746459225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 14746459225 by its sum of digits (49), we get a square (722576502025 = 8500452).

The spelling of 14746459225 in words is "fourteen billion, seven hundred forty-six million, four hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 149 163 745 815 3725 4075 22201 24287 26569 111005 121435 132845 555025 607175 664225 3618763 3958781 18093815 19793905 90469075 98969525 589858369 2949291845 14746459225