Search a number
-
+
11959720320 = 2735172389179
BaseRepresentation
bin10110010001101101…
…01101100110000000
31010212111022202000110
423020312231212000
5143443142022240
65254430151320
7602241642162
oct131066554600
933774282013
1011959720320
115087a4a989
122399352540
131187a008b2
14816534932
1549ee65c80
hex2c8dad980

11959720320 has 512 divisors, whose sum is σ = 42830208000. Its totient is φ = 2823028736.

The previous prime is 11959720319. The next prime is 11959720351. The reversal of 11959720320 is 2302795911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66813991 + ... + 66814169.

It is an arithmetic number, because the mean of its divisors is an integer number (83652750).

Almost surely, 211959720320 is an apocalyptic number.

11959720320 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 11959720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415104000).

11959720320 is an abundant number, since it is smaller than the sum of its proper divisors (30870487680).

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

11959720320 is a wasteful number, since it uses less digits than its factorization.

11959720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 11959720320 in words is "eleven billion, nine hundred fifty-nine million, seven hundred twenty thousand, three hundred twenty".