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5216684256 = 25337329607
BaseRepresentation
bin1001101101111000…
…00100100011100000
3111110120010000111000
410312330010203200
541140432344011
62221351352000
7243163041000
oct46674044340
914416100430
105216684256
112237756103
121017082600
13651a08024
14376b88000
15207ea9356
hex136f048e0

5216684256 has 384 divisors, whose sum is σ = 18385920000. Its totient is φ = 1436714496.

The previous prime is 5216684237. The next prime is 5216684261. The reversal of 5216684256 is 6524866125.

5216684256 is a `hidden beast` number, since 5 + 216 + 6 + 8 + 425 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8593905 + ... + 8594511.

It is an arithmetic number, because the mean of its divisors is an integer number (47880000).

Almost surely, 25216684256 is an apocalyptic number.

5216684256 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 5216684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960000).

5216684256 is an abundant number, since it is smaller than the sum of its proper divisors (13169235744).

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

5216684256 is a wasteful number, since it uses less digits than its factorization.

5216684256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 5216684256 is about 72226.6173650684. The cubic root of 5216684256 is about 1734.3291241978.

The spelling of 5216684256 in words is "five billion, two hundred sixteen million, six hundred eighty-four thousand, two hundred fifty-six".