Search a number
-
+
39096220020 = 223511132409857
BaseRepresentation
bin100100011010010100…
…001111100101110100
310201220200102202102220
4210122110033211310
51120032113020040
625543251402340
72552561246514
oct443224174564
9121820382386
1039096220020
1115642884840
1276b12b33b0
1338c0a64500
141c6c549844
15103c4b02d0
hex91a50f974

39096220020 has 288 divisors, whose sum is σ = 129781491840. Its totient is φ = 8717230080.

The previous prime is 39096219971. The next prime is 39096220021. The reversal of 39096220020 is 2002269093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39096220021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45619432 + ... + 45620288.

It is an arithmetic number, because the mean of its divisors is an integer number (450630180).

Almost surely, 239096220020 is an apocalyptic number.

39096220020 is a gapful number since it is divisible by the number (30) 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 39096220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64890745920).

39096220020 is an abundant number, since it is smaller than the sum of its proper divisors (90685271820).

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

39096220020 is a wasteful number, since it uses less digits than its factorization.

39096220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 39096220020 in words is "thirty-nine billion, ninety-six million, two hundred twenty thousand, twenty".