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148036410025 = 5272109932
BaseRepresentation
bin1000100111011110101…
…0000101101010101001
3112011002220121210210221
42021313222011222221
54411134310110100
6152001302010041
713460323503100
oct2116752055251
9464086553727
10148036410025
115786676aa19
1224835116921
1310c628128ba
147244a93037
153cb651001a
hex2277a85aa9

148036410025 has 27 divisors (see below), whose sum is σ = 213554394981. Its totient is φ = 101501447040.

The previous prime is 148036410017. The next prime is 148036410031. The reversal of 148036410025 is 520014630841.

The square root of 148036410025 is 384755.

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

148036410025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34782623001 + 113253787024 = 186501^2 + 336532^2 .

It is not a de Polignac number, because 148036410025 - 23 = 148036410017 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13460929 + ... + 13471921.

Almost surely, 2148036410025 is an apocalyptic number.

148036410025 is the 384755-th square number.

148036410025 is the 192378-th centered octagonal number.

It is an amenable number.

148036410025 is a deficient number, since it is larger than the sum of its proper divisors (65517984956).

148036410025 is an frugal number, since it uses more digits than its factorization.

148036410025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22010 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 148036410025 in words is "one hundred forty-eight billion, thirty-six million, four hundred ten thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 10993 54965 76951 274825 384755 538657 1923775 2693285 13466425 120846049 604230245 845922343 3021151225 4229611715 5921456401 21148058575 29607282005 148036410025