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5668704000 = 2831153
BaseRepresentation
bin1010100011110000…
…11000111100000000
3112122001200000000000
411101320120330000
543102142012000
62334300000000
7260322121551
oct52170307400
915561600000
105668704000
112449921243
121122530000
136c456112b
143bac10328
152329e6000
hex151e18f00

5668704000 has 432 divisors, whose sum is σ = 21182135520. Its totient is φ = 1511654400.

The previous prime is 5668703969. The next prime is 5668704047. The reversal of 5668704000 is 4078665.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 1133740798 + ... + 1133740802.

Almost surely, 25668704000 is an apocalyptic number.

5668704000 is a gapful number since it is divisible by the number (50) 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 5668704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591067760).

5668704000 is an abundant number, since it is smaller than the sum of its proper divisors (15513431520).

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

5668704000 is an frugal number, since it uses more digits than its factorization.

5668704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5668704000 is about 75290.7962502722. The cubic root of 5668704000 is about 1783.0407144031.

5668704000 divided by its sum of digits (36) gives a cube (157464000 = 5403).

The spelling of 5668704000 in words is "five billion, six hundred sixty-eight million, seven hundred four thousand".