Search a number
-
+
10872194496 = 263461122833
BaseRepresentation
bin10100010000000100…
…01000010111000000
31001001200221201001020
422020002020113000
5134231240210441
64554500505440
7533265062022
oct121002102700
931050851036
1010872194496
11467a085709
1221350ab280
1310435c99a7
14751d22012
15439745e66
hex2880885c0

10872194496 has 56 divisors (see below), whose sum is σ = 28828648464. Its totient is φ = 3616174080.

The previous prime is 10872194477. The next prime is 10872194503. The reversal of 10872194496 is 69449127801.

It is a super-2 number, since 2×108721944962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27096 + ... + 149928.

It is an arithmetic number, because the mean of its divisors is an integer number (514797294).

Almost surely, 210872194496 is an apocalyptic number.

10872194496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10872194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414324232).

10872194496 is an abundant number, since it is smaller than the sum of its proper divisors (17956453968).

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

10872194496 is a wasteful number, since it uses less digits than its factorization.

10872194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123309 (or 123299 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 10872194496 in words is "ten billion, eight hundred seventy-two million, one hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 461 922 1383 1844 2766 3688 5532 7376 11064 14752 22128 29504 44256 88512 122833 245666 368499 491332 736998 982664 1473996 1965328 2947992 3930656 5895984 7861312 11791968 23583936 56626013 113252026 169878039 226504052 339756078 453008104 679512156 906016208 1359024312 1812032416 2718048624 3624064832 5436097248 10872194496