Search a number
-
+
18882802944 = 2837291163
BaseRepresentation
bin10001100101100000…
…001011010100000000
31210201222022210000000
4101211200023110000
5302132444143234
612401420000000
71235635114425
oct214540132400
953658283000
1018882802944
11800a939375
1237ab990000
131a1c0b55a5
14cb1b8bd4c
15757b39899
hex46580b500

18882802944 has 288 divisors, whose sum is σ = 58528713600. Its totient is φ = 6071998464.

The previous prime is 18882802931. The next prime is 18882802949. The reversal of 18882802944 is 44920828881.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18882802949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16235707 + ... + 16236869.

It is an arithmetic number, because the mean of its divisors is an integer number (203224700).

Almost surely, 218882802944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18882802944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29264356800).

18882802944 is an abundant number, since it is smaller than the sum of its proper divisors (39645910656).

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

18882802944 is an frugal number, since it uses more digits than its factorization.

18882802944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 18882802944 in words is "eighteen billion, eight hundred eighty-two million, eight hundred two thousand, nine hundred forty-four".