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5806934016 = 2113132329109
BaseRepresentation
bin1010110100001111…
…01100100000000000
3112222200202210221020
411122013230200000
543343033342031
62400114425440
7263621060532
oct53207544000
915880683836
105806934016
11250a954524
121160892280
1371709b940
143d1313852
1523ebed096
hex15a1ec800

5806934016 has 384 divisors, whose sum is σ = 18162144000. Its totient is φ = 1634992128.

The previous prime is 5806933999. The next prime is 5806934047. The reversal of 5806934016 is 6104396085.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53274570 + ... + 53274678.

It is an arithmetic number, because the mean of its divisors is an integer number (47297250).

Almost surely, 25806934016 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 5806934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072000).

5806934016 is an abundant number, since it is smaller than the sum of its proper divisors (12355209984).

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

5806934016 is a wasteful number, since it uses less digits than its factorization.

5806934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5806934016 is about 76203.2415058572. The cubic root of 5806934016 is about 1797.4174916396.

The spelling of 5806934016 in words is "five billion, eight hundred six million, nine hundred thirty-four thousand, sixteen".