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20142705625 = 54728112
BaseRepresentation
bin10010110000100110…
…010100101111011001
31220222210001110120021
4102300212110233121
5312223013040000
613130424030441
71312104113200
oct226046245731
956883043507
1020142705625
1185a7039959
123aa1902421
131b90121633
14d91232237
157cd55911a
hex4b0994bd9

20142705625 has 45 divisors (see below), whose sum is σ = 29315913561. Its totient is φ = 13795110000.

The previous prime is 20142705593. The next prime is 20142705631. The reversal of 20142705625 is 52650724102.

The square root of 20142705625 is 141925.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1579188121 + 18563517504 = 39739^2 + 136248^2 .

It is not a de Polignac number, because 20142705625 - 25 = 20142705593 is a prime.

It is a Duffinian number.

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, 24836470 + ... + 24837280.

Almost surely, 220142705625 is an apocalyptic number.

20142705625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20142705625 is the 141925-th square number.

20142705625 is the 70963-rd centered octagonal number.

It is an amenable number.

20142705625 is a deficient number, since it is larger than the sum of its proper divisors (9173207936).

20142705625 is an frugal number, since it uses more digits than its factorization.

20142705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 20142705625 in words is "twenty billion, one hundred forty-two million, seven hundred five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 811 875 1225 4055 4375 5677 6125 20275 28385 30625 39739 101375 141925 198695 506875 657721 709625 993475 3288605 3548125 4604047 4967375 16443025 23020235 24836875 32228329 82215125 115101175 161141645 411075625 575505875 805708225 2877529375 4028541125 20142705625