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671687864315120 = 2458396098303939
BaseRepresentation
bin1001100010111001011000010…
…0100011010110110011110000
310021002020201210011000002201102
42120232112010203112303300
51201014413221231040440
610340321051154023532
7261323563304003252
oct23056260443266360
93232221704002642
10671687864315120
111850252505a2a14
1263401736877ba8
1322aa3b80958363
14bbc1c1a7c3cd2
15529c221dadb15
hex262e5848d6cf0

671687864315120 has 20 divisors (see below), whose sum is σ = 1561674284532840. Its totient is φ = 268675145726016.

The previous prime is 671687864315077. The next prime is 671687864315123. The reversal of 671687864315120 is 21513468786176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×6716878643151203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671687864315123) 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 3 ways as a sum of consecutive naturals, for example, 4198049151890 + ... + 4198049152049.

It is an arithmetic number, because the mean of its divisors is an integer number (78083714226642).

Almost surely, 2671687864315120 is an apocalyptic number.

It is an amenable number.

671687864315120 is an abundant number, since it is smaller than the sum of its proper divisors (889986420217720).

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

671687864315120 is a wasteful number, since it uses less digits than its factorization.

671687864315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396098303952 (or 8396098303946 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 65.

The spelling of 671687864315120 in words is "six hundred seventy-one trillion, six hundred eighty-seven billion, eight hundred sixty-four million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8396098303939 16792196607878 33584393215756 41980491519695 67168786431512 83960983039390 134337572863024 167921966078780 335843932157560 671687864315120