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11143531008 = 293217197487
BaseRepresentation
bin10100110000011010…
…01100101000000000
31001202121112000202200
422120031030220000
5140310220443013
65041432313200
7543101310411
oct123015145000
931677460680
1011143531008
1147a9261865
1221abb42800
13108789cc3c
14779d93808
15453491e73
hex29834ca00

11143531008 has 240 divisors, whose sum is σ = 35849848320. Its totient is φ = 3311566848.

The previous prime is 11143531001. The next prime is 11143531031. The reversal of 11143531008 is 80013534111.

It is not an unprimeable number, because it can be changed into a prime (11143531001) 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, 1484641 + ... + 1492127.

It is an arithmetic number, because the mean of its divisors is an integer number (149374368).

Almost surely, 211143531008 is an apocalyptic number.

11143531008 is a gapful number since it is divisible by the number (18) 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 11143531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17924924160).

11143531008 is an abundant number, since it is smaller than the sum of its proper divisors (24706317312).

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

11143531008 is a wasteful number, since it uses less digits than its factorization.

11143531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11143531008 in words is "eleven billion, one hundred forty-three million, five hundred thirty-one thousand, eight".