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664737737466 = 231110071783901
BaseRepresentation
bin10011010110001010111…
…01001110101011111010
32100112210201022212020110
421223011131032223322
541342340330044331
61225213140405150
766011551353255
oct11530535165372
92315721285213
10664737737466
11236a06139970
12a89b73a67b6
134a8b8acc23a
142426004a09c
15124584be946
hex9ac574eafa

664737737466 has 16 divisors (see below), whose sum is σ = 1450336881888. Its totient is φ = 201435678000.

The previous prime is 664737737413. The next prime is 664737737473.

664737737466 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6647377374663 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 10071783901 = 664737737466 / (6 + 6 + 4 + 7 + 3 + 7 + 7 + 3 + 7 + 4 + 6 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 664737737397 and 664737737406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5035891885 + ... + 5035892016.

It is an arithmetic number, because the mean of its divisors is an integer number (90646055118).

Almost surely, 2664737737466 is an apocalyptic number.

664737737466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

664737737466 is an abundant number, since it is smaller than the sum of its proper divisors (785599144422).

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

664737737466 is a wasteful number, since it uses less digits than its factorization.

664737737466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071783917.

The product of its digits is 448084224, while the sum is 66.

The spelling of 664737737466 in words is "six hundred sixty-four billion, seven hundred thirty-seven million, seven hundred thirty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 10071783901 20143567802 30215351703 60430703406 110789622911 221579245822 332368868733 664737737466