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685824311440 = 24510978649577
BaseRepresentation
bin10011111101011100101…
…00001000000010010000
32102120020021102210202201
421332232110020002100
542214032010431230
61243021403052544
7100356236314312
oct11765624100220
92376207383681
10685824311440
11244946a43004
12b0b01211154
134c899636748
14252a07777b2
1512c8e81d5ca
hex9fae508090

685824311440 has 40 divisors (see below), whose sum is σ = 1609170365880. Its totient is φ = 271812934656.

The previous prime is 685824311399. The next prime is 685824311441. The reversal of 685824311440 is 44113428586.

It can be written as a sum of positive squares in 4 ways, for example, as 142932388096 + 542891923344 = 378064^2 + 736812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×6858243114402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (685824311441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39316069 + ... + 39333508.

It is an arithmetic number, because the mean of its divisors is an integer number (40229259147).

Almost surely, 2685824311440 is an apocalyptic number.

It is an amenable number.

685824311440 is an abundant number, since it is smaller than the sum of its proper divisors (923346054440).

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

685824311440 is a wasteful number, since it uses less digits than its factorization.

685824311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78649699 (or 78649693 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 685824311440 in words is "six hundred eighty-five billion, eight hundred twenty-four million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 78649577 157299154 314598308 393247885 629196616 786495770 1258393232 1572991540 3145983080 6291966160 8572803893 17145607786 34291215572 42864019465 68582431144 85728038930 137164862288 171456077860 342912155720 685824311440