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159340680625 = 547222812
BaseRepresentation
bin1001010001100101110…
…0011101010110110001
3120020021201121020211211
42110121130131112301
510102312203240000
6201111115440121
714340416303200
oct2243134352661
9506251536754
10159340680625
1161637729815
1226a6aa56041
13120447a1b09
1479d8129237
154228b537ba
hex251971d5b1

159340680625 has 45 divisors (see below), whose sum is σ = 231721802631. Its totient is φ = 109214280000.

The previous prime is 159340680619. The next prime is 159340680643. The reversal of 159340680625 is 526086043951.

The square root of 159340680625 is 399175.

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

159340680625 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 7 ways, for example, as 107978617201 + 51362063424 = 328601^2 + 226632^2 .

It is not a de Polignac number, because 159340680625 - 211 = 159340678577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 44 ways as a sum of consecutive naturals, for example, 69854485 + ... + 69856765.

Almost surely, 2159340680625 is an apocalyptic number.

159340680625 is the 399175-th square number.

159340680625 is the 199588-th centered octagonal number.

It is an amenable number.

159340680625 is a deficient number, since it is larger than the sum of its proper divisors (72381122006).

159340680625 is an frugal number, since it uses more digits than its factorization.

159340680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 159340680625 by its sum of digits (49), we get a square (7807693350625 = 27942252).

159340680625 divided by its sum of digits (49) gives a square (3251850625 = 570252).

The spelling of 159340680625 in words is "one hundred fifty-nine billion, three hundred forty million, six hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 2281 4375 6125 11405 15967 30625 57025 79835 111769 285125 399175 558845 1425625 1995875 2794225 5202961 9979375 13971125 26014805 36420727 69855625 130074025 182103635 254945089 650370125 910518175 1274725445 3251850625 4552590875 6373627225 22762954375 31868136125 159340680625