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64684500548646 = 231137173153111731
BaseRepresentation
bin11101011010100100010001…
…01011010111110000100110
322111000210000001121220111110
432231102020223113300212
531434242324120024041
6345323352130445450
716424205136545336
oct1655221053276046
9274023001556443
1064684500548646
11196795a7269140
127308358433886
132a12950975664
1411d8a646a50c6
157728d4045516
hex3ad488ad7c26

64684500548646 has 64 divisors (see below), whose sum is σ = 145781967165696. Its totient is φ = 18961356643200.

The previous prime is 64684500548641. The next prime is 64684500548711.

It is a happy number.

64684500548646 is nontrivially palindromic in base 10.

64684500548646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×646845005486462 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64684500548641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76133400 + ... + 76978331.

It is an arithmetic number, because the mean of its divisors is an integer number (2277843236964).

Almost surely, 264684500548646 is an apocalyptic number.

64684500548646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64684500548646 is an abundant number, since it is smaller than the sum of its proper divisors (81097466617050).

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

64684500548646 is a wasteful number, since it uses less digits than its factorization.

64684500548646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153111957.

The product of its (nonzero) digits is 530841600, while the sum is 66.

The spelling of 64684500548646 in words is "sixty-four trillion, six hundred eighty-four billion, five hundred million, five hundred forty-eight thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 173 222 346 407 519 814 1038 1221 1903 2442 3806 5709 6401 11418 12802 19203 38406 70411 140822 211233 422466 153111731 306223462 459335193 918670386 1684229041 3368458082 5052687123 5665134047 10105374246 11330268094 16995402141 26488329463 33990804282 52976658926 62316474517 79464988389 124632949034 158929976778 186949423551 291371624093 373898847102 582743248186 874114872279 980068190131 1748229744558 1960136380262 2940204570393 5880409140786 10780750091441 21561500182882 32342250274323 64684500548646