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54351928225 = 527266612
BaseRepresentation
bin110010100111101000…
…001001101110100001
312012021212202000211201
4302213220021232201
51342303043200400
640545142241201
73632614524100
oct624750115641
9165255660751
1054351928225
1121061279151
12a64a426201
13518257119a
1428b86d4037
15163198506a
hexca7a09ba1

54351928225 has 27 divisors (see below), whose sum is σ = 78411655161. Its totient is φ = 37264298400.

The previous prime is 54351928201. The next prime is 54351928243. The reversal of 54351928225 is 52282915345.

The square root of 54351928225 is 233135.

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 8157883041 + 46194045184 = 90321^2 + 214928^2 .

It is not a de Polignac number, because 54351928225 - 225 = 54318373793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8156395 + ... + 8163055.

Almost surely, 254351928225 is an apocalyptic number.

54351928225 is the 233135-th square number.

54351928225 is the 116568-th centered octagonal number.

It is an amenable number.

54351928225 is a deficient number, since it is larger than the sum of its proper divisors (24059726936).

54351928225 is an frugal number, since it uses more digits than its factorization.

54351928225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 6673 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The spelling of 54351928225 in words is "fifty-four billion, three hundred fifty-one million, nine hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 6661 33305 46627 166525 233135 326389 1165675 1631945 8159725 44368921 221844605 310582447 1109223025 1552912235 2174077129 7764561175 10870385645 54351928225