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10775416320 = 293252916127
BaseRepresentation
bin10100000100100001…
…11100111000000000
31000210221211212100100
422002100330320000
5134032001310240
64541122322400
7531011345634
oct120220747000
930727755310
1010775416320
11462a494849
1221087b9400
1310295437b6
1474312cdc4
15430ecae30
hex28243ce00

10775416320 has 240 divisors, whose sum is σ = 38607528960. Its totient is φ = 2774188032.

The previous prime is 10775416313. The next prime is 10775416321. The reversal of 10775416320 is 2361457701.

It is a happy number.

10775416320 is a `hidden beast` number, since 10 + 7 + 7 + 5 + 4 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×107754163202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775416321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 660097 + ... + 676223.

It is an arithmetic number, because the mean of its divisors is an integer number (160864704).

Almost surely, 210775416320 is an apocalyptic number.

10775416320 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 10775416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480).

10775416320 is an abundant number, since it is smaller than the sum of its proper divisors (27832112640).

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

10775416320 is a wasteful number, since it uses less digits than its factorization.

10775416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16166 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10775416320 in words is "ten billion, seven hundred seventy-five million, four hundred sixteen thousand, three hundred twenty".