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150571161225 = 345286232
BaseRepresentation
bin1000110000111010111…
…1011001011010001001
3112101122120012111210000
42030032233121122021
54431332204124400
6153101010313213
713610202516222
oct2141657313211
9471576174700
10150571161225
115894754a021
1225221b88809
13112779bb794
14740558c249
153db3d02600
hex230ebd9689

150571161225 has 45 divisors (see below), whose sum is σ = 278942188503. Its totient is φ = 80295306480.

The previous prime is 150571161197. The next prime is 150571161233. The reversal of 150571161225 is 522161175051.

The square root of 150571161225 is 388035.

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

150571161225 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 7 + 11 + 612 + 25 = 666.

150571161225 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 only one way, i.e., 54205618041 + 96365543184 = 232821^2 + 310428^2 .

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

It is not a de Polignac number, because 150571161225 - 227 = 150436943497 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 150571161225.

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 44 ways as a sum of consecutive naturals, for example, 17457264 + ... + 17465886.

Almost surely, 2150571161225 is an apocalyptic number.

150571161225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

150571161225 is the 388035-th square number.

150571161225 is the 194018-th centered octagonal number.

It is an amenable number.

150571161225 is a deficient number, since it is larger than the sum of its proper divisors (128371027278).

150571161225 is an frugal number, since it uses more digits than its factorization.

150571161225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

Multiplying 150571161225 by its sum of digits (36), we get a square (5420561804100 = 23282102).

The spelling of 150571161225 in words is "one hundred fifty billion, five hundred seventy-one million, one hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 8623 25869 43115 77607 129345 215575 232821 388035 646725 698463 1164105 1940175 3492315 5820525 17461575 74356129 223068387 371780645 669205161 1115341935 1858903225 2007615483 3346025805 5576709675 6022846449 10038077415 16730129025 30114232245 50190387075 150571161225