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1364854806 = 233726313729
BaseRepresentation
bin101000101011010…
…0000100000010110
310112010012210211000
41101112200200112
510243400323211
6343233324130
745552034350
oct12126404026
93463183730
101364854806
11640474687
12321106646
131899c48c3
14cd3a40d0
157ec51656
hex515a0816

1364854806 has 64 divisors (see below), whose sum is σ = 3479731200. Its totient is φ = 388447488.

The previous prime is 1364854801. The next prime is 1364854807. The reversal of 1364854806 is 6084584631.

It is a super-2 number, since 2×13648548062 = 3725657282922595272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364854801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92550 + ... + 106278.

It is an arithmetic number, because the mean of its divisors is an integer number (54370800).

Almost surely, 21364854806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364854806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739865600).

1364854806 is an abundant number, since it is smaller than the sum of its proper divisors (2114876394).

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

1364854806 is a wasteful number, since it uses less digits than its factorization.

1364854806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14010 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1364854806 is about 36943.9413977448. The cubic root of 1364854806 is about 1109.2484174408.

The spelling of 1364854806 in words is "one billion, three hundred sixty-four million, eight hundred fifty-four thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 263 378 526 789 1578 1841 2367 3682 4734 5523 7101 11046 13729 14202 16569 27458 33138 41187 49707 82374 96103 99414 123561 192206 247122 288309 370683 576618 741366 864927 1729854 2594781 3610727 5189562 7221454 10832181 21664362 25275089 32496543 50550178 64993086 75825267 97489629 151650534 194979258 227475801 454951602 682427403 1364854806