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5680051200 = 210325289277
BaseRepresentation
bin1010100101000111…
…01011010000000000
3112122212000111102200
411102203223100000
543113043114300
62335343113200
7260520432015
oct52243532000
915585014380
105680051200
11245527159a
1211262a2800
136c6a04c55
143bc52570c
152339d8200
hex1528eb400

5680051200 has 396 divisors, whose sum is σ = 20640023820. Its totient is φ = 1492254720.

The previous prime is 5680051177. The next prime is 5680051211. The reversal of 5680051200 is 21500865.

It can be written as a sum of positive squares in 6 ways, for example, as 1241293824 + 4438757376 = 35232^2 + 66624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20505462 + ... + 20505738.

Almost surely, 25680051200 is an apocalyptic number.

5680051200 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 5680051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320011910).

5680051200 is an abundant number, since it is smaller than the sum of its proper divisors (14959972620).

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

5680051200 is a wasteful number, since it uses less digits than its factorization.

5680051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5680051200 is about 75366.1144016328. The cubic root of 5680051200 is about 1784.2296419246.

The spelling of 5680051200 in words is "five billion, six hundred eighty million, fifty-one thousand, two hundred".