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5334916608 = 29347172347
BaseRepresentation
bin1001111011111110…
…00101111000000000
3111202210120211210000
410331333011320000
541411214312413
62241213440000
7246130020510
oct47577057000
914683524700
105334916608
11229846a89a
12104a7a0000
136703634b8
14388763840
15213561073
hex13dfc5e00

5334916608 has 800 divisors, whose sum is σ = 20534114304. Its totient is φ = 1343029248.

The previous prime is 5334916583. The next prime is 5334916619. The reversal of 5334916608 is 8066194335.

5334916608 is a `hidden beast` number, since 5 + 3 + 34 + 9 + 1 + 6 + 608 = 666.

It is a super-2 number, since 2×53349166082 = 56922670428628451328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113508841 + ... + 113508887.

Almost surely, 25334916608 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 5334916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267057152).

5334916608 is an abundant number, since it is smaller than the sum of its proper divisors (15199197696).

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

5334916608 is a wasteful number, since it uses less digits than its factorization.

5334916608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5334916608 is about 73040.5134702653. The cubic root of 5334916608 is about 1747.3338020946. Note that the first 3 decimals are identical.

The spelling of 5334916608 in words is "five billion, three hundred thirty-four million, nine hundred sixteen thousand, six hundred eight".