Search a number
-
+
200978114055625 = 545670672
BaseRepresentation
bin101101101100100111011101…
…000110001000110111001001
3222100121022122022210022111001
4231230213131012020313021
5202320311134144240000
61551240023200135001
760222122010520534
oct5554473506106711
9870538568708431
10200978114055625
1159046380994305
121a65aaa3907461
13881b20222aa7a
14378b56d4d9a1b
151837d7e20646a
hexb6c9dd188dc9

200978114055625 has 15 divisors (see below), whose sum is σ = 251142694204017. Its totient is φ = 160782207711000.

The previous prime is 200978114055619. The next prime is 200978114055659. The reversal of 200978114055625 is 526550411879002.

It is a happy number.

The square root of 200978114055625 is 14176675.

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 15756684141961 + 185221429913664 = 3969469^2 + 13609608^2 .

It is not a de Polignac number, because 200978114055625 - 219 = 200978113531337 is a prime.

It is a super-2 number, since 2×2009781140556252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 354133342 + ... + 354700408.

Almost surely, 2200978114055625 is an apocalyptic number.

200978114055625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200978114055625 is the 14176675-th square number.

200978114055625 is the 7088338-th centered octagonal number.

It is an amenable number.

200978114055625 is a deficient number, since it is larger than the sum of its proper divisors (50164580148392).

200978114055625 is an frugal number, since it uses more digits than its factorization.

200978114055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134154 (or 567072 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 200978114055625 in words is "two hundred trillion, nine hundred seventy-eight billion, one hundred fourteen million, fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 567067 2835335 14176675 70883375 354416875 321564982489 1607824912445 8039124562225 40195622811125 200978114055625