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20995200000 = 2103855
BaseRepresentation
bin10011100011011010…
…010101010000000000
32000012012011200000000
4103203122111100000
5320444232400000
613351200000000
71342165153425
oct234332252000
960165150000
1020995200000
1189a4274565
12409b300000
131c97924088
141032543d4c
1582d300000
hex4e3695400

20995200000 has 594 divisors, whose sum is σ = 78684522462. Its totient is φ = 5598720000.

The previous prime is 20995199999. The next prime is 20995200019. The reversal of 20995200000 is 259902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 9701462016 + 11293737984 = 98496^2 + 106272^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4199039998 + ... + 4199040002.

Almost surely, 220995200000 is an apocalyptic number.

20995200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20995200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39342261231).

20995200000 is an abundant number, since it is smaller than the sum of its proper divisors (57689322462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20995200000 is an frugal number, since it uses more digits than its factorization.

20995200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

20995200000 divided by its sum of digits (27) gives a 5-th power (777600000 = 605).

Multiplying 20995200000 by its product of nonzero digits (1620), we get a 6-th power (34012224000000 = 1806).

20995200000 divided by its product of nonzero digits (1620) gives a 4-th power (12960000 = 604).

Adding to 20995200000 its reverse (259902), we get a palindrome (20995459902).

The spelling of 20995200000 in words is "twenty billion, nine hundred ninety-five million, two hundred thousand".