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5287778496 = 2634711131019
BaseRepresentation
bin1001110110010110…
…10001100011000000
3111122111212222110000
410323023101203000
541312132402441
62232411240000
7245015242560
oct47313214300
914574788400
105287778496
1122738a4280
121036a49000
1366366a920
143823b2da0
1520e34e2b6
hex13b2d18c0

5287778496 has 560 divisors, whose sum is σ = 21066312960. Its totient is φ = 1266554880.

The previous prime is 5287778471. The next prime is 5287778497. The reversal of 5287778496 is 6948777825.

5287778496 is a `hidden beast` number, since 5 + 2 + 8 + 77 + 78 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5287778497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5188675 + ... + 5189693.

It is an arithmetic number, because the mean of its divisors is an integer number (37618416).

Almost surely, 25287778496 is an apocalyptic number.

5287778496 is a gapful number since it is divisible by the number (56) 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 5287778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533156480).

5287778496 is an abundant number, since it is smaller than the sum of its proper divisors (15778534464).

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

5287778496 is a wasteful number, since it uses less digits than its factorization.

5287778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1055 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 5287778496 is about 72717.1128139725. The cubic root of 5287778496 is about 1742.1722216646.

The spelling of 5287778496 in words is "five billion, two hundred eighty-seven million, seven hundred seventy-eight thousand, four hundred ninety-six".