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11959230420 = 2236519231877
BaseRepresentation
bin10110010001101001…
…10101111111010100
31010212110101212000000
423020310311333110
5143443030333140
65254411451300
7602234531664
oct131064657724
933773355000
1011959230420
115087745905
122399156b30
13118788b907
148164481a4
1549edbaa30
hex2c8d35fd4

11959230420 has 336 divisors, whose sum is σ = 41381504640. Its totient is φ = 2888379648.

The previous prime is 11959230403. The next prime is 11959230433. The reversal of 11959230420 is 2403295911.

11959230420 is a `hidden beast` number, since 1 + 19 + 592 + 30 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6370522 + ... + 6372398.

It is an arithmetic number, because the mean of its divisors is an integer number (123159240).

Almost surely, 211959230420 is an apocalyptic number.

11959230420 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 11959230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690752320).

11959230420 is an abundant number, since it is smaller than the sum of its proper divisors (29422274220).

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

11959230420 is a wasteful number, since it uses less digits than its factorization.

11959230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 11959230420 in words is "eleven billion, nine hundred fifty-nine million, two hundred thirty thousand, four hundred twenty".