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11319600000 = 273559433
BaseRepresentation
bin10101000101011001…
…10110001110000000
31002012212211021000110
422202230312032000
5141140304200000
65111122151320
7550340004162
oct124254661600
932185737013
1011319600000
11488968a025
12223aab2540
1310b51c8787
14795506932
15463b70850
hex2a2b36380

11319600000 has 192 divisors, whose sum is σ = 37586188080. Its totient is φ = 3018240000.

The previous prime is 11319599981. The next prime is 11319600011. The reversal of 11319600000 is 691311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 11319600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195284 + ... + 1204716.

Almost surely, 211319600000 is an apocalyptic number.

11319600000 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 11319600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18793094040).

11319600000 is an abundant number, since it is smaller than the sum of its proper divisors (26266588080).

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

11319600000 is an frugal number, since it uses more digits than its factorization.

11319600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The spelling of 11319600000 in words is "eleven billion, three hundred nineteen million, six hundred thousand".