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5694211600 = 245276112
BaseRepresentation
bin1010100110110011…
…01100011000010000
3112200211122220211221
411103121230120100
543130204232400
62341010414424
7261052000000
oct52331543020
915624586757
105694211600
112462263500
12112ab91414
136c992239c
143c0370000
15234d83c1a
hex15366c610

5694211600 has 315 divisors, whose sum is σ = 17543228941. Its totient is φ = 1774819200.

The previous prime is 5694211571. The next prime is 5694211603. The reversal of 5694211600 is 61124965.

The square root of 5694211600 is 75460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2049916176 + 3644295424 = 45276^2 + 60368^2 .

It is a super-4 number, since 4×56942116004 (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (5694211603) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 517655595 + ... + 517655605.

Almost surely, 25694211600 is an apocalyptic number.

5694211600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5694211600 is the 75460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5694211600

5694211600 is an abundant number, since it is smaller than the sum of its proper divisors (11849017341).

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

5694211600 is an frugal number, since it uses more digits than its factorization.

5694211600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 5694211600 is about 1785.7111097239.

The spelling of 5694211600 in words is "five billion, six hundred ninety-four million, two hundred eleven thousand, six hundred".