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20299125625 = 544121392
BaseRepresentation
bin10010111001111011…
…000001001101111001
31221101200101102110121
4102321323001031321
5313033034010000
613154132413241
71316013502162
oct227173011571
957350342417
1020299125625
118677366589
123b26177221
131bb665a74c
14da7d0c769
157dc155b1a
hex4b9ec1379

20299125625 has 45 divisors (see below), whose sum is σ = 26187947643. Its totient is φ = 15729240000.

The previous prime is 20299125601. The next prime is 20299125667. The reversal of 20299125625 is 52652199202.

The square root of 20299125625 is 142475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 20219986809 + 79138816 = 142197^2 + 8896^2 .

It is not a de Polignac number, because 20299125625 - 211 = 20299123577 is a prime.

It is a super-2 number, since 2×202991256252 (a number of 21 digits) contains 22 as substring.

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, 146036806 + ... + 146036944.

Almost surely, 220299125625 is an apocalyptic number.

20299125625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20299125625 is the 142475-th square number.

20299125625 is the 71238-th centered octagonal number.

It is an amenable number.

20299125625 is a deficient number, since it is larger than the sum of its proper divisors (5888822018).

20299125625 is an frugal number, since it uses more digits than its factorization.

20299125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

It can be divided in two parts, 20299 and 125625, that added together give a square (145924 = 3822).

The spelling of 20299125625 in words is "twenty billion, two hundred ninety-nine million, one hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 41 125 139 205 625 695 1025 1681 3475 5125 5699 8405 17375 19321 25625 28495 42025 86875 96605 142475 210125 233659 483025 712375 792161 1050625 1168295 2415125 3561875 3960805 5841475 12075625 19804025 29207375 32478601 99020125 146036875 162393005 495100625 811965025 4059825125 20299125625