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11214885888 = 210331937577
BaseRepresentation
bin10100111000111010…
…11001010000000000
31001221120210020021000
422130131121100000
5140432002322023
65052501532000
7544625646213
oct123435312000
931846706230
1011214885888
114835568838
12220ba14000
1310995c436b
1478564977a
15459889243
hex29c759400

11214885888 has 352 divisors, whose sum is σ = 35968246400. Its totient is φ = 3439853568.

The previous prime is 11214885863. The next prime is 11214885937. The reversal of 11214885888 is 88858841211.

It is a happy number.

11214885888 is a `hidden beast` number, since 1 + 12 + 1 + 48 + 8 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 19436256 + ... + 19436832.

Almost surely, 211214885888 is an apocalyptic number.

11214885888 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 11214885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984123200).

11214885888 is an abundant number, since it is smaller than the sum of its proper divisors (24753360512).

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

11214885888 is a wasteful number, since it uses less digits than its factorization.

11214885888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 638 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 54.

The spelling of 11214885888 in words is "eleven billion, two hundred fourteen million, eight hundred eighty-five thousand, eight hundred eighty-eight".