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195142599729025 = 521322149132
BaseRepresentation
bin101100010111101100101101…
…010101100101111110000001
3221120221110011022001201200121
4230113230231111211332001
5201034204021012312100
61531011134524020241
756050405352253514
oct5427545525457601
9846843138051617
10195142599729025
11571a656a20a913
1219a77b39991681
1384b6b39566400
143628d48c7ad7b
15178619091951a
hexb17b2d565f81

195142599729025 has 27 divisors (see below), whose sum is σ = 262023460216059. Its totient is φ = 144104633886720.

The previous prime is 195142599729023. The next prime is 195142599729083. The reversal of 195142599729025 is 520927995241591.

It is a happy number.

The square root of 195142599729025 is 13969345.

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

It can be written as a sum of positive squares in 13 ways, for example, as 134704040926849 + 60438558802176 = 11606207^2 + 7774224^2 .

It is not a de Polignac number, because 195142599729025 - 21 = 195142599729023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (195142599729023) 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, 907899969 + ... + 908114881.

Almost surely, 2195142599729025 is an apocalyptic number.

195142599729025 is the 13969345-th square number.

195142599729025 is the 6984673-rd centered octagonal number.

It is an amenable number.

195142599729025 is a deficient number, since it is larger than the sum of its proper divisors (66880860487034).

195142599729025 is an frugal number, since it uses more digits than its factorization.

195142599729025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429862 (or 214931 counting only the distinct ones).

The product of its (nonzero) digits is 183708000, while the sum is 70.

The spelling of 195142599729025 in words is "one hundred ninety-five trillion, one hundred forty-two billion, five hundred ninety-nine million, seven hundred twenty-nine thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 214913 1074565 2793869 5372825 13969345 36320297 69846725 181601485 908007425 46187597569 230937987845 600438768397 1154689939225 3002193841985 7805703989161 15010969209925 39028519945805 195142599729025