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10680378336 = 253312361549
BaseRepresentation
bin10011111001001100…
…11010001111100000
31000120100000102202000
421330212122033200
5133333134101321
64523445324000
7525445501155
oct117446321740
930510012660
1010680378336
114590882361
1220a0a06600
1310129496c4
1473467022c
154279a6826
hex27c99a3e0

10680378336 has 48 divisors (see below), whose sum is σ = 31151106000. Its totient is φ = 3560125824.

The previous prime is 10680378329. The next prime is 10680378337. The reversal of 10680378336 is 63387308601.

10680378336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106803783362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10680378291 and 10680378300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680378337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6179911 + ... + 6181638.

It is an arithmetic number, because the mean of its divisors is an integer number (648981375).

Almost surely, 210680378336 is an apocalyptic number.

10680378336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10680378336 is an abundant number, since it is smaller than the sum of its proper divisors (20470727664).

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

10680378336 is a wasteful number, since it uses less digits than its factorization.

10680378336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361568 (or 12361554 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10680378336 in words is "ten billion, six hundred eighty million, three hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12361549 24723098 37084647 49446196 74169294 98892392 111253941 148338588 197784784 222507882 296677176 333761823 395569568 445015764 593354352 667523646 890031528 1186708704 1335047292 1780063056 2670094584 3560126112 5340189168 10680378336