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11054311488 = 263311718191
BaseRepresentation
bin10100100101110001…
…10110100001000000
31001112101122012121000
422102320312201000
5140114400431423
65024524132000
7540636045243
oct122270664100
931471565530
1011054311488
114762963920
122186097000
13107226231c
1476c1ab25a
1544a71b843
hex292e36840

11054311488 has 224 divisors, whose sum is σ = 35955671040. Its totient is φ = 3302208000.

The previous prime is 11054311469. The next prime is 11054311531. The reversal of 11054311488 is 88411345011.

11054311488 is a `hidden beast` number, since 110 + 54 + 3 + 11 + 488 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1345473 + ... + 1353663.

Almost surely, 211054311488 is an apocalyptic number.

11054311488 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 11054311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977835520).

11054311488 is an abundant number, since it is smaller than the sum of its proper divisors (24901359552).

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

11054311488 is a wasteful number, since it uses less digits than its factorization.

11054311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 11054311488 its reverse (88411345011), we get a palindrome (99465656499).

The spelling of 11054311488 in words is "eleven billion, fifty-four million, three hundred eleven thousand, four hundred eighty-eight".