Search a number
-
+
20483835624 = 2332761739127
BaseRepresentation
bin10011000100111011…
…101000011011101000
31221212112221122221200
4103010323220123220
5313422330214444
613224331404200
71323415505250
oct230473503350
957775848850
1020483835624
11876165597a
123b77bb3660
131c159c03c5
14dc4670960
157ed48e969
hex4c4ee86e8

20483835624 has 192 divisors, whose sum is σ = 65331651840. Its totient is φ = 5677102080.

The previous prime is 20483835613. The next prime is 20483835629. The reversal of 20483835624 is 42653838402.

20483835624 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 3 + 83 + 562 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20483835624.

It is not an unprimeable number, because it can be changed into a prime (20483835629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239749 + ... + 2248875.

It is an arithmetic number, because the mean of its divisors is an integer number (340269020).

Almost surely, 220483835624 is an apocalyptic number.

20483835624 is a gapful number since it is divisible by the number (24) 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 20483835624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32665825920).

20483835624 is an abundant number, since it is smaller than the sum of its proper divisors (44847816216).

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

20483835624 is a wasteful number, since it uses less digits than its factorization.

20483835624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9280 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 20483835624 in words is "twenty billion, four hundred eighty-three million, eight hundred thirty-five thousand, six hundred twenty-four".