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95379057225 = 345268632
BaseRepresentation
bin101100011010100001…
…0001110101001001001
3100010012010112010110000
41120311002032221021
53030314014312400
6111452212113213
76614403416064
oct1306502165111
9303163463400
1095379057225
11374a4a9a431
121659a305809
138cc036bb8a
14488b4718db
15273370b600
hex163508ea49

95379057225 has 45 divisors (see below), whose sum is σ = 176700731383. Its totient is φ = 50861418480.

The previous prime is 95379057217. The next prime is 95379057233. The reversal of 95379057225 is 52275097359.

The square root of 95379057225 is 308835.

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

It is an interprime number because it is at equal distance from previous prime (95379057217) and next prime (95379057233).

It can be written as a sum of positive squares in only one way, i.e., 34336460601 + 61042596624 = 185301^2 + 247068^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 95379057225 - 23 = 95379057217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13894144 + ... + 13901006.

Almost surely, 295379057225 is an apocalyptic number.

95379057225 is the 308835-th square number.

95379057225 is the 154418-th centered octagonal number.

It is an amenable number.

95379057225 is a deficient number, since it is larger than the sum of its proper divisors (81321674158).

95379057225 is an frugal number, since it uses more digits than its factorization.

95379057225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13748 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 95379057225 in words is "ninety-five billion, three hundred seventy-nine million, fifty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6863 20589 34315 61767 102945 171575 185301 308835 514725 555903 926505 1544175 2779515 4632525 13897575 47100769 141302307 235503845 423906921 706511535 1177519225 1271720763 2119534605 3532557675 3815162289 6358603815 10597673025 19075811445 31793019075 95379057225