Search a number
-
+
20342899584 = 2732721722943
BaseRepresentation
bin10010111100100010…
…000000001110000000
31221111201202101001100
4102330202000032000
5313130240241314
613202334534400
71320054536100
oct227442001600
957451671040
1020342899584
11869a044607
123b38967400
131bc2745cb7
14dada65200
157e0e00c09
hex4bc880380

20342899584 has 864 divisors, whose sum is σ = 76572124200. Its totient is φ = 5158895616.

The previous prime is 20342899579. The next prime is 20342899609. The reversal of 20342899584 is 48599824302.

20342899584 is a `hidden beast` number, since 2 + 0 + 34 + 28 + 9 + 9 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20342899584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 473090667 + ... + 473090709.

Almost surely, 220342899584 is an apocalyptic number.

20342899584 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 20342899584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38286062100).

20342899584 is an abundant number, since it is smaller than the sum of its proper divisors (56229224616).

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

20342899584 is a wasteful number, since it uses less digits than its factorization.

20342899584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20342899584 in words is "twenty billion, three hundred forty-two million, eight hundred ninety-nine thousand, five hundred eighty-four".