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11343288320 = 211572133747
BaseRepresentation
bin10101001000001110…
…01101100000000000
31002021112101202021122
422210013031200000
5141212340211240
65113330011412
7551045234300
oct124407154000
932245352248
1011343288320
1148a0a99451
122246a16b68
1310ba0a0930
14798711600
15465c9e4b5
hex2a41cd800

11343288320 has 576 divisors, whose sum is σ = 35762912640. Its totient is φ = 3418619904.

The previous prime is 11343288293. The next prime is 11343288343. The reversal of 11343288320 is 2388234311.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 241346537 + ... + 241346583.

It is an arithmetic number, because the mean of its divisors is an integer number (62088390).

Almost surely, 211343288320 is an apocalyptic number.

11343288320 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 11343288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881456320).

11343288320 is an abundant number, since it is smaller than the sum of its proper divisors (24419624320).

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

11343288320 is a wasteful number, since it uses less digits than its factorization.

11343288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 11343288320 in words is "eleven billion, three hundred forty-three million, two hundred eighty-eight thousand, three hundred twenty".