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150524145225 = 3252668996201
BaseRepresentation
bin1000110000101111110…
…0000010111001001001
3112101112021201211221200
42030023330002321021
54431233140121400
6153052210454413
713606062060306
oct2141374027111
9471467654850
10150524145225
1158922a57223
122520a294409
131126b03966c
1473dd2300ad
153daeb16b00
hex230bf02e49

150524145225 has 18 divisors (see below), whose sum is σ = 269605469406. Its totient is φ = 80279544000.

The previous prime is 150524145203. The next prime is 150524145271. The reversal of 150524145225 is 522541425051.

150524145225 is a `hidden beast` number, since 1 + 50 + 524 + 14 + 52 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36488258361 + 114035886864 = 191019^2 + 337692^2 .

It is not a de Polignac number, because 150524145225 - 27 = 150524145097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 150524145225.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 334497876 + ... + 334498325.

Almost surely, 2150524145225 is an apocalyptic number.

150524145225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150524145225 is a deficient number, since it is larger than the sum of its proper divisors (119081324181).

150524145225 is a wasteful number, since it uses less digits than its factorization.

150524145225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668996217 (or 668996209 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 150524145225 in words is "one hundred fifty billion, five hundred twenty-four million, one hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 668996201 2006988603 3344981005 6020965809 10034943015 16724905025 30104829045 50174715075 150524145225