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54342603225 = 3252155412
BaseRepresentation
bin110010100111000100…
…100101000111011001
312012021020012021100100
4302213010211013121
51342243201300400
640544210330013
73632442335361
oct624704450731
9165236167310
1054342603225
1121056a8a139
12a647289909
135180657931
1428b73879a1
151630c42100
hexca71251d9

54342603225 has 27 divisors (see below), whose sum is σ = 97339903869. Its totient is φ = 28980856800.

The previous prime is 54342603163. The next prime is 54342603229. The reversal of 54342603225 is 52230624345.

The square root of 54342603225 is 233115.

It is a perfect power (a square), and thus also a powerful number.

54342603225 is a `hidden beast` number, since 5 + 4 + 3 + 42 + 603 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1335829401 + 53006773824 = 36549^2 + 230232^2 .

It is not a de Polignac number, because 54342603225 - 27 = 54342603097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54342603225.

It is not an unprimeable number, because it can be changed into a prime (54342603229) by changing a digit.

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, 3488955 + ... + 3504495.

Almost surely, 254342603225 is an apocalyptic number.

54342603225 is the 233115-th square number.

54342603225 is the 116558-th centered octagonal number.

It is an amenable number.

54342603225 is a deficient number, since it is larger than the sum of its proper divisors (42997300644).

54342603225 is an frugal number, since it uses more digits than its factorization.

54342603225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31098 (or 15549 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Multiplying 54342603225 by its sum of digits (36), we get a square (1956333716100 = 13986902).

The spelling of 54342603225 in words is "fifty-four billion, three hundred forty-two million, six hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 15541 46623 77705 139869 233115 388525 699345 1165575 3496725 241522681 724568043 1207613405 2173704129 3622840215 6038067025 10868520645 18114201075 54342603225