Search a number
-
+
20213320584 = 233672373503
BaseRepresentation
bin10010110100110011…
…101100101110001000
31221011200221002002010
4102310303230232020
5312344102224314
613141425335520
71313622250542
oct226463545610
957150832063
1020213320584
11863298aa26
123b014975a0
131ba1947032
14d9a774692
157d4857059
hex4b4cecb88

20213320584 has 96 divisors (see below), whose sum is σ = 51538576320. Its totient is φ = 6606255744.

The previous prime is 20213320573. The next prime is 20213320591. The reversal of 20213320584 is 48502331202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40185277 + ... + 40185779.

It is an arithmetic number, because the mean of its divisors is an integer number (536860170).

Almost surely, 220213320584 is an apocalyptic number.

20213320584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20213320584 is an abundant number, since it is smaller than the sum of its proper divisors (31325255736).

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

20213320584 is a wasteful number, since it uses less digits than its factorization.

20213320584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20213320584 its reverse (48502331202), we get a palindrome (68715651786).

The spelling of 20213320584 in words is "twenty billion, two hundred thirteen million, three hundred twenty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 373 402 503 536 746 804 1006 1119 1492 1509 1608 2012 2238 2984 3018 4024 4476 4489 6036 8952 8978 12072 13467 17956 24991 26934 33701 35912 49982 53868 67402 74973 99964 101103 107736 134804 149946 187619 199928 202206 269608 299892 375238 404412 562857 599784 750476 808824 1125714 1500952 1674397 2251428 2257967 3348794 4502856 4515934 5023191 6697588 6773901 9031868 10046382 12570473 13395176 13547802 18063736 20092764 25140946 27095604 37711419 40185528 50281892 54191208 75422838 100563784 150845676 301691352 842221691 1684443382 2526665073 3368886764 5053330146 6737773528 10106660292 20213320584