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5678313400 = 2352192314359
BaseRepresentation
bin1010100100111010…
…00010111110111000
3112122201202012121201
411102131002332320
543112122012100
62335241543544
7260466603364
oct52235027670
915581665551
105678313400
1124542949a1
1211257a4bb4
136c6546c76
143bc1d22a4
1523379336a
hex152742fb8

5678313400 has 288 divisors, whose sum is σ = 14966899200. Its totient is φ = 1999468800.

The previous prime is 5678313379. The next prime is 5678313427. The reversal of 5678313400 is 43138765.

It is a self number, because there is not a number n which added to its sum of digits gives 5678313400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96242571 + ... + 96242629.

It is an arithmetic number, because the mean of its divisors is an integer number (51968400).

Almost surely, 25678313400 is an apocalyptic number.

5678313400 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 5678313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483449600).

5678313400 is an abundant number, since it is smaller than the sum of its proper divisors (9288585800).

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

5678313400 is a wasteful number, since it uses less digits than its factorization.

5678313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 5678313400 is about 75354.5844657112. The cubic root of 5678313400 is about 1784.0476628997.

The spelling of 5678313400 in words is "five billion, six hundred seventy-eight million, three hundred thirteen thousand, four hundred".