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11809255680 = 2835537967
BaseRepresentation
bin10101111111110001…
…01111000100000000
31010111000012100100000
422333320233010000
5143141132140210
65231453200000
7565434005565
oct127770570400
933430170300
1011809255680
115010020642
122356a90000
13116279b371
1480056886c
15491b43ac0
hex2bfe2f100

11809255680 has 216 divisors, whose sum is σ = 42373199232. Its totient is φ = 3149051904.

The previous prime is 11809255663. The next prime is 11809255681. The reversal of 11809255680 is 8655290811.

It is a happy number.

11809255680 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 92 + 556 + 8 + 0 = 666.

11809255680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×118092556802 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11809255681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292057 + ... + 330023.

Almost surely, 211809255680 is an apocalyptic number.

11809255680 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 11809255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186599616).

11809255680 is an abundant number, since it is smaller than the sum of its proper divisors (30563943552).

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

11809255680 is an frugal number, since it uses more digits than its factorization.

11809255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38003 (or 37977 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11809255680 in words is "eleven billion, eight hundred nine million, two hundred fifty-five thousand, six hundred eighty".