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11970227304 = 2334789149199
BaseRepresentation
bin10110010010111101…
…10010110001101000
31010220020002112220000
423021132302301220
5144003334233204
65255443303000
7602430152610
oct131136626150
933806075800
1011970227304
115092976a42
1223a097aa60
131189c3c149
14817aaba40
154a0d3e039
hex2c97b2c68

11970227304 has 320 divisors, whose sum is σ = 39204000000. Its totient is φ = 3342062592.

The previous prime is 11970227293. The next prime is 11970227317. The reversal of 11970227304 is 40372207911.

11970227304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60151797 + ... + 60151995.

It is an arithmetic number, because the mean of its divisors is an integer number (122512500).

Almost surely, 211970227304 is an apocalyptic number.

11970227304 is a gapful number since it is divisible by the number (14) 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 11970227304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602000000).

11970227304 is an abundant number, since it is smaller than the sum of its proper divisors (27233772696).

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

11970227304 is a wasteful number, since it uses less digits than its factorization.

11970227304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 11970227304 in words is "eleven billion, nine hundred seventy million, two hundred twenty-seven thousand, three hundred four".