Search a number
-
+
10681898820 = 22351327134161
BaseRepresentation
bin10011111001011000…
…01101011101000100
31000120102212200110020
421330230031131010
5133334031230240
64523542055140
7525464433105
oct117454153504
930512780406
1010681898820
11459172075a
1220a141a4b0
13101305c7b8
147349483ac
15427ba70d0
hex27cb0d744

10681898820 has 48 divisors (see below), whose sum is σ = 29932078848. Its totient is φ = 2846338560.

The previous prime is 10681898807. The next prime is 10681898863. The reversal of 10681898820 is 2889818601.

It is a happy number.

10681898820 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 2×106818988202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12540 + ... + 146700.

It is an arithmetic number, because the mean of its divisors is an integer number (623584976).

Almost surely, 210681898820 is an apocalyptic number.

10681898820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10681898820 is an abundant number, since it is smaller than the sum of its proper divisors (19250180028).

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

10681898820 is a wasteful number, since it uses less digits than its factorization.

10681898820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135500 (or 135498 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 51.

The spelling of 10681898820 in words is "ten billion, six hundred eighty-one million, eight hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1327 2654 3981 5308 6635 7962 13270 15924 19905 26540 39810 79620 134161 268322 402483 536644 670805 804966 1341610 1609932 2012415 2683220 4024830 8049660 178031647 356063294 534094941 712126588 890158235 1068189882 1780316470 2136379764 2670474705 3560632940 5340949410 10681898820