Search a number
-
+
20411843760 = 243257211149353
BaseRepresentation
bin10011000000101001…
…000000010010110000
31221200112111002200100
4103000221000102300
5313300413000020
613213240352400
71321552544400
oct230051002260
957615432610
1020411843760
118724a54370
123b57a75700
131c03b05079
14db8c90800
157e6ebda90
hex4c0a404b0

20411843760 has 720 divisors, whose sum is σ = 87822727200. Its totient is φ = 4201021440.

The previous prime is 20411843759. The next prime is 20411843789. The reversal of 20411843760 is 6734811402.

20411843760 is a `hidden beast` number, since 204 + 1 + 1 + 84 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57823744 + ... + 57824096.

It is an arithmetic number, because the mean of its divisors is an integer number (121976010).

Almost surely, 220411843760 is an apocalyptic number.

20411843760 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 20411843760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43911363600).

20411843760 is an abundant number, since it is smaller than the sum of its proper divisors (67410883440).

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

20411843760 is a wasteful number, since it uses less digits than its factorization.

20411843760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20411843760 in words is "twenty billion, four hundred eleven million, eight hundred forty-three thousand, seven hundred sixty".