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159924009025 = 521146612
BaseRepresentation
bin1001010011110000110…
…1101011100001000001
3120021210101020101222101
42110330031223201001
510110011021242100
6201245034310401
714361031435114
oct2247415534101
9507711211871
10159924009025
1161906a30000
1226bb2288401
13121085b1251
147a517b257b
15425ee7b86a
hex253c36b841

159924009025 has 45 divisors (see below), whose sum is σ = 218465500665. Its totient is φ = 116132412000.

The previous prime is 159924009017. The next prime is 159924009059. The reversal of 159924009025 is 520900429951.

The square root of 159924009025 is 399905.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4706920449 + 155217088576 = 68607^2 + 393976^2 .

It is not a de Polignac number, because 159924009025 - 23 = 159924009017 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 241942195 + ... + 241942855.

Almost surely, 2159924009025 is an apocalyptic number.

159924009025 is the 399905-th square number.

159924009025 is the 199953-rd centered octagonal number.

It is an amenable number.

159924009025 is a deficient number, since it is larger than the sum of its proper divisors (58541491640).

159924009025 is an frugal number, since it uses more digits than its factorization.

159924009025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 159924009025 in words is "one hundred fifty-nine billion, nine hundred twenty-four million, nine thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 605 661 1331 3025 3305 6655 7271 14641 16525 33275 36355 73205 79981 181775 366025 399905 436921 879791 1999525 2184605 4398955 4806131 9677701 10923025 21994775 24030655 48388505 52867441 120153275 241942525 264337205 581541851 1321686025 2907709255 6396960361 14538546275 31984801805 159924009025