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5680160000 = 2854131271
BaseRepresentation
bin1010100101001000…
…00101110100000000
3112122212020000200022
411102210011310000
543113110110000
62335345313012
7260521364144
oct52244056400
915585200608
105680160000
112455336309
121126335768
136c6a42628
143bc553224
15233a0a585
hex152905d00

5680160000 has 180 divisors, whose sum is σ = 14328963264. Its totient is φ = 2246400000.

The previous prime is 5680159993. The next prime is 5680160009. The reversal of 5680160000 is 610865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5680160009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 20959865 + ... + 20960135.

Almost surely, 25680160000 is an apocalyptic number.

5680160000 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 5680160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164481632).

5680160000 is an abundant number, since it is smaller than the sum of its proper divisors (8648803264).

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

5680160000 is an equidigital number, since it uses as much as digits as its factorization.

5680160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5680160000 is about 75366.8362079768. The cubic root of 5680160000 is about 1784.2410340136.

Adding to 5680160000 its reverse (610865), we get a palindrome (5680770865).

The spelling of 5680160000 in words is "five billion, six hundred eighty million, one hundred sixty thousand".