Search a number
-
+
10853376000 = 2133533533
BaseRepresentation
bin10100001101110100…
…10110000000000000
31001000101112121220220
422012322112000000
5134211431013000
64552545303040
7532646113425
oct120672260000
931011477826
1010853376000
11466a4a2035
12212a934a80
13103c73b29c
1474d623d4c
15437c7a1a0
hex286e96000

10853376000 has 224 divisors, whose sum is σ = 36128053728. Its totient is φ = 2893414400.

The previous prime is 10853375989. The next prime is 10853376031. The reversal of 10853376000 is 67335801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070234 + ... + 3073766.

Almost surely, 210853376000 is an apocalyptic number.

10853376000 is a gapful number since it is divisible by the number (10) 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 10853376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064026864).

10853376000 is an abundant number, since it is smaller than the sum of its proper divisors (25274677728).

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

10853376000 is an frugal number, since it uses more digits than its factorization.

10853376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 10853376000 in words is "ten billion, eight hundred fifty-three million, three hundred seventy-six thousand".