Search a number
-
+
2878193664 = 21432131149
BaseRepresentation
bin1010101110001101…
…1100000000000000
321102120211101110100
42223203130000000
521343304144124
61153333402400
7131216146113
oct25343340000
97376741410
102878193664
111247735555
12683a99400
1336b3a7398
141d437a57a
1511ca331c9
hexab8dc000

2878193664 has 180 divisors, whose sum is σ = 8434225800. Its totient is φ = 945684480.

The previous prime is 2878193651. The next prime is 2878193671. The reversal of 2878193664 is 4663918782.

It is a self number, because there is not a number n which added to its sum of digits gives 2878193664.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19316662 + ... + 19316810.

It is an arithmetic number, because the mean of its divisors is an integer number (46856810).

Almost surely, 22878193664 is an apocalyptic number.

2878193664 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 2878193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217112900).

2878193664 is an abundant number, since it is smaller than the sum of its proper divisors (5556032136).

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

2878193664 is a wasteful number, since it uses less digits than its factorization.

2878193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2878193664 is about 53648.7992782690. The cubic root of 2878193664 is about 1422.4598084565.

The spelling of 2878193664 in words is "two billion, eight hundred seventy-eight million, one hundred ninety-three thousand, six hundred sixty-four".