Search a number
-
+
20373162264 = 23327132534513
BaseRepresentation
bin10010111110010101…
…011100100100011000
31221120211200212122100
4102332111130210120
5313211012143024
613205335323400
71320603010350
oct227625344430
957524625570
1020373162264
118705134394
123b46b20560
131bc8ab0700
14db3aa1b60
157e38cc7c9
hex4be55c918

20373162264 has 288 divisors, whose sum is σ = 69587462880. Its totient is φ = 5270593536.

The previous prime is 20373162241. The next prime is 20373162343. The reversal of 20373162264 is 46226137302.

20373162264 is a `hidden beast` number, since 20 + 3 + 7 + 3 + 1 + 622 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4512072 + ... + 4516584.

It is an arithmetic number, because the mean of its divisors is an integer number (241623135).

Almost surely, 220373162264 is an apocalyptic number.

20373162264 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 20373162264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34793731440).

20373162264 is an abundant number, since it is smaller than the sum of its proper divisors (49214300616).

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

20373162264 is a wasteful number, since it uses less digits than its factorization.

20373162264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 20373162264 its reverse (46226137302), we get a palindrome (66599299566).

The spelling of 20373162264 in words is "twenty billion, three hundred seventy-three million, one hundred sixty-two thousand, two hundred sixty-four".