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71824285314 = 23229399135727
BaseRepresentation
bin100001011100100001…
…1111001111010000010
320212101120001201212100
41002321003321322002
52134044004112224
652555015411230
75121605231505
oct1027103717202
9225346051770
1071824285314
1128507a33691
1211b05983b16
136a0838b512
14369501113c
151d05864ac9
hex10b90f9e82

71824285314 has 24 divisors (see below), whose sum is σ = 155625724800. Its totient is φ = 23940437688.

The previous prime is 71824285289. The next prime is 71824285327. The reversal of 71824285314 is 41358242817.

71824285314 is a `hidden beast` number, since 7 + 18 + 242 + 85 + 314 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71824285314.

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 11 ways as a sum of consecutive naturals, for example, 461319 + ... + 597045.

It is an arithmetic number, because the mean of its divisors is an integer number (6484405200).

Almost surely, 271824285314 is an apocalyptic number.

71824285314 is an abundant number, since it is smaller than the sum of its proper divisors (83801439486).

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

71824285314 is a wasteful number, since it uses less digits than its factorization.

71824285314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165134 (or 165131 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 71824285314 in words is "seventy-one billion, eight hundred twenty-four million, two hundred eighty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29399 58798 88197 135727 176394 264591 271454 407181 529182 814362 1221543 2443086 3990238073 7980476146 11970714219 23941428438 35912142657 71824285314