Search a number
-
+
20291141520 = 2435513174723
BaseRepresentation
bin10010111001011100…
…100011111110010000
31221101010100210100000
4102321130203332100
5313024013012040
613153245330000
71315555566666
oct227134437620
957333323300
1020291141520
118672902a51
123b23566900
131bb4ac3620
14da6c30c36
157db5ca130
hex4b9723f90

20291141520 has 480 divisors, whose sum is σ = 80598091392. Its totient is φ = 4699938816.

The previous prime is 20291141509. The next prime is 20291141593. The reversal of 20291141520 is 2514119202.

20291141520 is a `hidden beast` number, since 2 + 0 + 29 + 114 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4293879 + ... + 4298601.

Almost surely, 220291141520 is an apocalyptic number.

20291141520 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 20291141520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40299045696).

20291141520 is an abundant number, since it is smaller than the sum of its proper divisors (60306949872).

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

20291141520 is a wasteful number, since it uses less digits than its factorization.

20291141520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 20291141520 in words is "twenty billion, two hundred ninety-one million, one hundred forty-one thousand, five hundred twenty".