Search a number
-
+
5077774080 = 283252112089
BaseRepresentation
bin1001011101010100…
…01010111100000000
3111002212201122112200
410232222022330000
540344402232310
62155510153200
7236555240031
oct45652127400
914085648480
105077774080
1121762a8905
12b98652800
1362bcbca62
14362548a88
151eabba9c0
hex12ea8af00

5077774080 has 216 divisors, whose sum is σ = 17660282640. Its totient is φ = 1347010560.

The previous prime is 5077774063. The next prime is 5077774151. The reversal of 5077774080 is 804777705.

It is a happy number.

5077774080 is a `hidden beast` number, since 507 + 77 + 74 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429676 + ... + 2431764.

Almost surely, 25077774080 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 5077774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830141320).

5077774080 is an abundant number, since it is smaller than the sum of its proper divisors (12582508560).

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

5077774080 is a wasteful number, since it uses less digits than its factorization.

5077774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The square root of 5077774080 is about 71258.5018085561. The cubic root of 5077774080 is about 1718.7964899733.

The spelling of 5077774080 in words is "five billion, seventy-seven million, seven hundred seventy-four thousand, eighty".