Search a number
-
+
5778088992 = 2538132973
BaseRepresentation
bin1010110000110011…
…01010010000100000
3112220200111100000000
411120121222100200
543313142321432
62353204300000
7263120642334
oct53031522040
915820440000
105778088992
1124a5642865
1211530a1600
1371110c590
143cb5657c4
1523c40157c
hex15866a420

5778088992 has 432 divisors, whose sum is σ = 19269071640. Its totient is φ = 1693052928.

The previous prime is 5778088969. The next prime is 5778089011. The reversal of 5778088992 is 2998808775.

It can be written as a sum of positive squares in 4 ways, for example, as 4241135376 + 1536953616 = 65124^2 + 39204^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79151868 + ... + 79151940.

Almost surely, 25778088992 is an apocalyptic number.

5778088992 is a gapful number since it is divisible by the number (52) 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 5778088992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9634535820).

5778088992 is an abundant number, since it is smaller than the sum of its proper divisors (13490982648).

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

5778088992 is an equidigital number, since it uses as much as digits as its factorization.

5778088992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The square root of 5778088992 is about 76013.7421260130. The cubic root of 5778088992 is about 1794.4364213800.

The spelling of 5778088992 in words is "five billion, seven hundred seventy-eight million, eighty-eight thousand, nine hundred ninety-two".