Search a number
-
+
133819889840 = 2457213232931127
BaseRepresentation
bin111110010100001001…
…0010111100010110000
3110210102010201202101022
41330220102113202300
54143030342433330
6141250452355012
712445116203300
oct1745022274260
9423363652338
10133819889840
115183092598a
1221b28015a68
13c8083b4190
146696937600
1537333acae5
hex1f284978b0

133819889840 has 960 divisors, whose sum is σ = 437731983360. Its totient is φ = 37553725440.

The previous prime is 133819889839. The next prime is 133819889911. The reversal of 133819889840 is 48988918331.

It is a Harshad number since it is a multiple of its sum of digits (62).

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 191 ways as a sum of consecutive naturals, for example, 1053699857 + ... + 1053699983.

It is an arithmetic number, because the mean of its divisors is an integer number (455970816).

Almost surely, 2133819889840 is an apocalyptic number.

133819889840 is a gapful number since it is divisible by the number (10) 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 133819889840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218865991680).

133819889840 is an abundant number, since it is smaller than the sum of its proper divisors (303912093520).

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

133819889840 is a wasteful number, since it uses less digits than its factorization.

133819889840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 62.

The spelling of 133819889840 in words is "one hundred thirty-three billion, eight hundred nineteen million, eight hundred eighty-nine thousand, eight hundred forty".