Search a number
-
+
2648778496 = 28721337439
BaseRepresentation
bin1001110111100001…
…0010011100000000
320211121010220000021
42131320102130000
520411041402441
61114500303224
7122432150200
oct23570223400
96747126007
102648778496
11113a191541
1261b0a1b14
133329c1370
141b1adc400
151078183d1
hex9de12700

2648778496 has 216 divisors, whose sum is σ = 6818048160. Its totient is φ = 1017225216.

The previous prime is 2648778487. The next prime is 2648778523. The reversal of 2648778496 is 6948778462.

It is a congruent 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, 6033445 + ... + 6033883.

Almost surely, 22648778496 is an apocalyptic number.

2648778496 is a gapful number since it is divisible by the number (26) 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 2648778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409024080).

2648778496 is an abundant number, since it is smaller than the sum of its proper divisors (4169269664).

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

2648778496 is a wasteful number, since it uses less digits than its factorization.

2648778496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 498 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 61.

The square root of 2648778496 is about 51466.2850417630. The cubic root of 2648778496 is about 1383.6148482209.

The spelling of 2648778496 in words is "two billion, six hundred forty-eight million, seven hundred seventy-eight thousand, four hundred ninety-six".