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5864342814 = 2361117137157
BaseRepresentation
bin1010111011000101…
…01100010100011110
3120010200210111000000
411131202230110132
544002232432224
62405525115130
7265216043241
oct53542542436
916120714000
105864342814
11253a2a5610
121177b58aa6
13725c4c345
143d8bb9258
15244c8d0c9
hex15d8ac51e

5864342814 has 224 divisors, whose sum is σ = 15442988256. Its totient is φ = 1649756160.

The previous prime is 5864342779. The next prime is 5864342833. The reversal of 5864342814 is 4182434685.

5864342814 is a `hidden beast` number, since 586 + 4 + 34 + 28 + 14 = 666.

It is a super-3 number, since 3×58643428143 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5864342814.

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 111 ways as a sum of consecutive naturals, for example, 37352424 + ... + 37352580.

Almost surely, 25864342814 is an apocalyptic number.

5864342814 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5864342814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721494128).

5864342814 is an abundant number, since it is smaller than the sum of its proper divisors (9578645442).

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

5864342814 is a wasteful number, since it uses less digits than its factorization.

5864342814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 5864342814 is about 76578.9972120294. The cubic root of 5864342814 is about 1803.3213178129.

The spelling of 5864342814 in words is "five billion, eight hundred sixty-four million, three hundred forty-two thousand, eight hundred fourteen".