Search a number
-
+
20409789504 = 263134153271
BaseRepresentation
bin10011000000100001…
…001010110001000000
31221200101121201202210
4103000201022301000
5313244401231004
613213124342120
71321526230326
oct230041126100
957611551683
1020409789504
118723880a35
123b57244940
131c03566030
14db88b7d16
157e6c15089
hex4c084ac40

20409789504 has 336 divisors, whose sum is σ = 61573647744. Its totient is φ = 5926502400.

The previous prime is 20409789487. The next prime is 20409789539. The reversal of 20409789504 is 40598790402.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287461789 + ... + 287461859.

It is an arithmetic number, because the mean of its divisors is an integer number (183254904).

Almost surely, 220409789504 is an apocalyptic number.

20409789504 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 20409789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30786823872).

20409789504 is an abundant number, since it is smaller than the sum of its proper divisors (41163858240).

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

20409789504 is a wasteful number, since it uses less digits than its factorization.

20409789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 20409789504 in words is "twenty billion, four hundred nine million, seven hundred eighty-nine thousand, five hundred four".