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11234488320 = 212335111847
BaseRepresentation
bin10100111011010000…
…01011000000000000
31001222221200010202000
422131220023000000
5141002012111240
65054442024000
7545254401156
oct123550130000
931887603660
1011234488320
1148456373a0
1222164a8000
1310a0698833
147880ad3d6
1545b45c430
hex29da0b000

11234488320 has 416 divisors, whose sum is σ = 43594467840. Its totient is φ = 2722037760.

The previous prime is 11234488313. The next prime is 11234488333. The reversal of 11234488320 is 2388443211.

It is a happy number.

11234488320 is a `hidden beast` number, since 112 + 3 + 448 + 83 + 20 = 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6081637 + ... + 6083483.

Almost surely, 211234488320 is an apocalyptic number.

11234488320 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 11234488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21797233920).

11234488320 is an abundant number, since it is smaller than the sum of its proper divisors (32359979520).

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

11234488320 is a wasteful number, since it uses less digits than its factorization.

11234488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11234488320 in words is "eleven billion, two hundred thirty-four million, four hundred eighty-eight thousand, three hundred twenty".