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11390537088 = 273371924781
BaseRepresentation
bin10101001101110110…
…11100110110000000
31002101211022020102000
422212323130312000
5141311434141323
65122134424000
7552160652640
oct124673346600
932354266360
1011390537088
114915730117
12225a802000
1310c6b04998
147a0ad0520
15469ed3e43
hex2a6edcd80

11390537088 has 256 divisors, whose sum is σ = 40444224000. Its totient is φ = 3083028480.

The previous prime is 11390537087. The next prime is 11390537113. The reversal of 11390537088 is 88073509311.

11390537088 is a `hidden beast` number, since 1 + 1 + 39 + 0 + 537 + 0 + 88 = 666.

11390537088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11390537087) 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 31 ways as a sum of consecutive naturals, for example, 447258 + ... + 472038.

It is an arithmetic number, because the mean of its divisors is an integer number (157985250).

Almost surely, 211390537088 is an apocalyptic number.

11390537088 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 11390537088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222112000).

11390537088 is an abundant number, since it is smaller than the sum of its proper divisors (29053686912).

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

11390537088 is a wasteful number, since it uses less digits than its factorization.

11390537088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24830 (or 24812 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11390537088 in words is "eleven billion, three hundred ninety million, five hundred thirty-seven thousand, eighty-eight".