Search a number
-
+
10883664400 = 245273233449
BaseRepresentation
bin10100010001011011…
…11000101000010000
31001002111112102210111
422020231320220100
5134242204230100
64555550411104
7533464423000
oct121055705020
931074472714
1010883664400
1146855aa174
122138b00a94
131045ab460b
1475366a000
1543a75e6ba
hex288b78a10

10883664400 has 240 divisors, whose sum is σ = 31828320000. Its totient is φ = 3568266240.

The previous prime is 10883664397. The next prime is 10883664403. The reversal of 10883664400 is 446638801.

It is an interprime number because it is at equal distance from previous prime (10883664397) and next prime (10883664403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10883664403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153876 + ... + 3157324.

It is an arithmetic number, because the mean of its divisors is an integer number (132618000).

Almost surely, 210883664400 is an apocalyptic number.

10883664400 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 10883664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914160000).

10883664400 is an abundant number, since it is smaller than the sum of its proper divisors (20944655600).

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

10883664400 is a wasteful number, since it uses less digits than its factorization.

10883664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

It can be divided in two parts, 108836 and 64400, that multiplied together give a square (7009038400 = 837202).

The spelling of 10883664400 in words is "ten billion, eight hundred eighty-three million, six hundred sixty-four thousand, four hundred".