Search a number
-
+
83945878016 = 2972111323399
BaseRepresentation
bin100111000101110010…
…0000111001000000000
322000200022222110001012
41032023210013020000
52333410121044031
6102321511300052
76031154122100
oct1161344071000
9260608873035
1083945878016
11326682946a0
121432937a628
137bba786b90
1440c4c41200
1522b4b02b2b
hex138b907200

83945878016 has 240 divisors, whose sum is σ = 229232203200. Its totient is φ = 30189035520.

The previous prime is 83945877971. The next prime is 83945878039. The reversal of 83945878016 is 61087854938.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3575885 + ... + 3599283.

It is an arithmetic number, because the mean of its divisors is an integer number (955134180).

Almost surely, 283945878016 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 83945878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114616101600).

83945878016 is an abundant number, since it is smaller than the sum of its proper divisors (145286325184).

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

83945878016 is a wasteful number, since it uses less digits than its factorization.

83945878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23455 (or 23432 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 83945878016 in words is "eighty-three billion, nine hundred forty-five million, eight hundred seventy-eight thousand, sixteen".