Search a number
-
+
20330690400 = 25325213720611
BaseRepresentation
bin10010111011110011…
…011011011101100000
31221110212210002012100
4102323303123131200
5313114124043100
613201221130400
71316546005566
oct227363333540
957425702170
1020330690400
118693165679
123b34859a00
131bc005ca27
14dac1a7a36
157decdd400
hex4bbcdb760

20330690400 has 216 divisors, whose sum is σ = 72217893384. Its totient is φ = 5381683200.

The previous prime is 20330690363. The next prime is 20330690411. The reversal of 20330690400 is 409603302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 976095 + ... + 996705.

It is an arithmetic number, because the mean of its divisors is an integer number (334342099).

Almost surely, 220330690400 is an apocalyptic number.

20330690400 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 20330690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36108946692).

20330690400 is an abundant number, since it is smaller than the sum of its proper divisors (51887202984).

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

20330690400 is a wasteful number, since it uses less digits than its factorization.

20330690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20774 (or 20758 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 20330690400 in words is "twenty billion, three hundred thirty million, six hundred ninety thousand, four hundred".