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152126530317 = 32101411666793
BaseRepresentation
bin1000110110101101110…
…0101010001100001101
3112112122221220110001200
42031223130222030031
54443023342432232
6153515211300113
713663560113046
oct2155334521415
9475587813050
10152126530317
1159575507923
1225596a4a639
1311464cc8c18
147511d858cd
153e5563777c
hex236b72a30d

152126530317 has 12 divisors (see below), whose sum is σ = 219760121724. Its totient is φ = 101407625280.

The previous prime is 152126530279. The next prime is 152126530331. The reversal of 152126530317 is 713035621251.

152126530317 is a `hidden beast` number, since 1 + 52 + 1 + 265 + 30 + 317 = 666.

152126530317 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 2 ways, for example, as 80037502281 + 72089028036 = 282909^2 + 268494^2 .

It is not a de Polignac number, because 152126530317 - 210 = 152126529293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152126530217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 742128 + ... + 924665.

It is an arithmetic number, because the mean of its divisors is an integer number (18313343477).

Almost surely, 2152126530317 is an apocalyptic number.

It is an amenable number.

152126530317 is a deficient number, since it is larger than the sum of its proper divisors (67633591407).

152126530317 is a wasteful number, since it uses less digits than its factorization.

152126530317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676940 (or 1676937 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 152126530317 in words is "one hundred fifty-two billion, one hundred twenty-six million, five hundred thirty thousand, three hundred seventeen".

Divisors: 1 3 9 10141 30423 91269 1666793 5000379 15001137 16902947813 50708843439 152126530317