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5864134320 = 24375112277
BaseRepresentation
bin1010111011000011…
…11001011010110000
3120010200101220000000
411131201321122300
544002204244240
62405520430000
7265214214342
oct53541713260
916120356000
105864134320
11253a172a00
121177a78300
13725ba8485
143d8b63292
15244c4b430
hex15d8796b0

5864134320 has 480 divisors, whose sum is σ = 22557097920. Its totient is φ = 1416476160.

The previous prime is 5864134307. The next prime is 5864134327. The reversal of 5864134320 is 234314685.

5864134320 is a `hidden beast` number, since 5 + 8 + 641 + 3 + 4 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5864134327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21170022 + ... + 21170298.

It is an arithmetic number, because the mean of its divisors is an integer number (46993954).

Almost surely, 25864134320 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 5864134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278548960).

5864134320 is an abundant number, since it is smaller than the sum of its proper divisors (16692963600).

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

5864134320 is a wasteful number, since it uses less digits than its factorization.

5864134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5864134320 is about 76577.6358997847. The cubic root of 5864134320 is about 1803.2999464991.

The spelling of 5864134320 in words is "five billion, eight hundred sixty-four million, one hundred thirty-four thousand, three hundred twenty".