Search a number
-
+
20113780680 = 23365732011
BaseRepresentation
bin10010101110110111…
…111110111111001000
31220220202121221000000
4102232313332333020
5312143111440210
613123512043000
71311303213000
oct225667767710
956822557000
1020113780680
118591783144
123a94093460
131b87134a96
14d8b463000
157cac43ac0
hex4aedfefc8

20113780680 has 448 divisors, whose sum is σ = 79168176000. Its totient is φ = 4595149440.

The previous prime is 20113780657. The next prime is 20113780691. The reversal of 20113780680 is 8608731102.

20113780680 is a `hidden beast` number, since 201 + 1 + 378 + 0 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10000875 + ... + 10002885.

Almost surely, 220113780680 is an apocalyptic number.

20113780680 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 20113780680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584088000).

20113780680 is an abundant number, since it is smaller than the sum of its proper divisors (59054395320).

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

20113780680 is an equidigital number, since it uses as much as digits as its factorization.

20113780680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20113780680 in words is "twenty billion, one hundred thirteen million, seven hundred eighty thousand, six hundred eighty".