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6030368064 = 263273131233
BaseRepresentation
bin1011001110111000…
…00001110101000000
3120120021012102211100
411213130001311000
544322233234224
62434215414400
7302303166000
oct54734016500
916507172740
106030368064
112614a92866
121203684400
1375146c436
14412c76000
15254635ac9
hex167701d40

6030368064 has 336 divisors, whose sum is σ = 20398435200. Its totient is φ = 1702471680.

The previous prime is 6030368063. The next prime is 6030368119. The reversal of 6030368064 is 4608630306.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×60303680642 = 72730677974622216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6030368063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25881292 + ... + 25881524.

Almost surely, 26030368064 is an apocalyptic number.

6030368064 is a gapful number since it is divisible by the number (64) 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 6030368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10199217600).

6030368064 is an abundant number, since it is smaller than the sum of its proper divisors (14368067136).

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

6030368064 is a wasteful number, since it uses less digits than its factorization.

6030368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6030368064 is about 77655.4445225832. Note that the first 3 decimals coincide. The cubic root of 6030368064 is about 1820.1811259580.

The spelling of 6030368064 in words is "six billion, thirty million, three hundred sixty-eight thousand, sixty-four".