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10944097920 = 2737571117
BaseRepresentation
bin10100011000101000…
…11010111010000000
31001020201020210000000
422030110122322000
5134403142113140
65005550000000
7535130204010
oct121424327200
931221223000
1010944097920
114706726828
1221551a6000
1310554839b2
1475b6bbc40
15440beaa30
hex28c51ae80

10944097920 has 512 divisors, whose sum is σ = 44884569600. Its totient is φ = 2499268608.

The previous prime is 10944097919. The next prime is 10944097937. The reversal of 10944097920 is 2979044901.

It is a happy number.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9797202 + ... + 9798318.

It is an arithmetic number, because the mean of its divisors is an integer number (87665175).

Almost surely, 210944097920 is an apocalyptic number.

10944097920 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 10944097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22442284800).

10944097920 is an abundant number, since it is smaller than the sum of its proper divisors (33940471680).

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

10944097920 is an frugal number, since it uses more digits than its factorization.

10944097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10944097920 in words is "ten billion, nine hundred forty-four million, ninety-seven thousand, nine hundred twenty".