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159980000625 = 325453332
BaseRepresentation
bin1001010011111110001…
…1010001010101110001
3120021221021121002000100
42110333203101111301
510110114340010000
6201254354343013
714362311365664
oct2247743212561
9507837532010
10159980000625
11619355a3355
1227008b8aa69
1312117086883
147a58dc96db
154264d3ba00
hex253f8d1571

159980000625 has 45 divisors (see below), whose sum is σ = 288814502119. Its totient is φ = 85306668000.

The previous prime is 159980000603. The next prime is 159980000671. The reversal of 159980000625 is 526000089951.

The square root of 159980000625 is 399975.

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

159980000625 is a `hidden beast` number, since 15 + 9 + 9 + 8 + 0 + 0 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 17648856801 + 142331143824 = 132849^2 + 377268^2 .

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

It is not a de Polignac number, because 159980000625 - 213 = 159979992433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29995459 + ... + 30000791.

Almost surely, 2159980000625 is an apocalyptic number.

159980000625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159980000625 is the 399975-th square number.

159980000625 is the 199988-th centered octagonal number.

It is an amenable number.

159980000625 is a deficient number, since it is larger than the sum of its proper divisors (128834501494).

159980000625 is an frugal number, since it uses more digits than its factorization.

159980000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10692 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 159980000625 in words is "one hundred fifty-nine billion, nine hundred eighty million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5333 5625 15999 26665 47997 79995 133325 239985 399975 666625 1199925 1999875 3333125 5999625 9999375 28440889 29998125 85322667 142204445 255968001 426613335 711022225 1279840005 2133066675 3555111125 6399200025 10665333375 17775555625 31996000125 53326666875 159980000625