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10818894240 = 25325721153263
BaseRepresentation
bin10100001001101101…
…10011100110100000
31000220222122202211200
422010312303212200
5134124114103430
64545314241200
7532050040500
oct120466634640
930828582750
1010818894240
114651a90410
12211b286200
13103555738b
14748c09a00
15434c18460
hex284db39a0

10818894240 has 864 divisors, whose sum is σ = 47916925056. Its totient is φ = 2197278720.

The previous prime is 10818894223. The next prime is 10818894301. The reversal of 10818894240 is 4249881801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41136349 + ... + 41136611.

It is an arithmetic number, because the mean of its divisors is an integer number (55459404).

Almost surely, 210818894240 is an apocalyptic number.

10818894240 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 10818894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23958462528).

10818894240 is an abundant number, since it is smaller than the sum of its proper divisors (37098030816).

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

10818894240 is a wasteful number, since it uses less digits than its factorization.

10818894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 10818894240 in words is "ten billion, eight hundred eighteen million, eight hundred ninety-four thousand, two hundred forty".