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5690671200 = 25355273401
BaseRepresentation
bin1010100110011000…
…01100000001100000
3112200121000001100000
411103030030001200
543123302434300
62340402500000
7261006623064
oct52314140140
915617001300
105690671200
112460265555
121129964600
136c8c82a86
143bdacbaa4
152348d4c00
hex15330c060

5690671200 has 432 divisors, whose sum is σ = 21147615216. Its totient is φ = 1492992000.

The previous prime is 5690671193. The next prime is 5690671211. The reversal of 5690671200 is 21760965.

5690671200 is a `hidden beast` number, since 569 + 0 + 6 + 71 + 20 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14191000 + ... + 14191400.

It is an arithmetic number, because the mean of its divisors is an integer number (48952813).

Almost surely, 25690671200 is an apocalyptic number.

5690671200 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 5690671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573807608).

5690671200 is an abundant number, since it is smaller than the sum of its proper divisors (15456944016).

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

5690671200 is a wasteful number, since it uses less digits than its factorization.

5690671200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5690671200 is about 75436.5375663544. The cubic root of 5690671200 is about 1785.3409418657.

The spelling of 5690671200 in words is "five billion, six hundred ninety million, six hundred seventy-one thousand, two hundred".