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5678914560 = 2103511192961
BaseRepresentation
bin1010100100111110…
…10101110000000000
3112122202212202020220
411102133111300000
543112300231220
62335302503040
7260504656134
oct52237256000
915582782226
105678914560
112454665620
121125a34a80
136c66c7797
143bc30b3c4
15233861540
hex1527d5c00

5678914560 has 704 divisors, whose sum is σ = 21930739200. Its totient is φ = 1238630400.

The previous prime is 5678914559. The next prime is 5678914597. The reversal of 5678914560 is 654198765.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93096930 + ... + 93096990.

Almost surely, 25678914560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5678914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965369600).

5678914560 is an abundant number, since it is smaller than the sum of its proper divisors (16251824640).

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

5678914560 is a wasteful number, since it uses less digits than its factorization.

5678914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 5678914560 is about 75358.5732349014. The cubic root of 5678914560 is about 1784.1106194017.

The spelling of 5678914560 in words is "five billion, six hundred seventy-eight million, nine hundred fourteen thousand, five hundred sixty".