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195315383025 = 345272232612
BaseRepresentation
bin1011010111100110110…
…1000011101011110001
3200200010212100111010000
42311321231003223301
511200001214224100
6225420542300213
720053045235400
oct2657155035361
9620125314100
10195315383025
1175918495124
1231a2a887669
1315558916179
14964bc79637
155132069900
hex2d79b43af1

195315383025 has 405 divisors, whose sum is σ = 447284030193. Its totient is φ = 84004905600.

The previous prime is 195315383017. The next prime is 195315383051. The reversal of 195315383025 is 520383513591.

The square root of 195315383025 is 441945.

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

195315383025 is a `hidden beast` number, since 1 + 95 + 3 + 1 + 538 + 3 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89965803249 + 105349579776 = 299943^2 + 324576^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 195315383025 - 23 = 195315383017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 3201891495 + ... + 3201891555.

Almost surely, 2195315383025 is an apocalyptic number.

195315383025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

195315383025 is the 441945-th square number.

195315383025 is the 220973-rd centered octagonal number.

It is an amenable number.

195315383025 is an abundant number, since it is smaller than the sum of its proper divisors (251968647168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

195315383025 is an equidigital number, since it uses as much as digits as its factorization.

195315383025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 195315383025 in words is "one hundred ninety-five billion, three hundred fifteen million, three hundred eighty-three thousand, twenty-five".