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11992059495900 = 2233521119311315233
BaseRepresentation
bin1010111010000001111001…
…1100100100010111011100
31120110102121020121200221000
42232200132130210113130
53032434214212332100
641301024233310300
72345253261566541
oct256403634442734
946412536550830
1011992059495900
113903892a53620
121418184565390
1368cb005ab153
142d65c11a0bc8
1515be1ac78900
hexae81e7245dc

11992059495900 has 1152 divisors, whose sum is σ = 46056252211200. Its totient is φ = 2644462080000.

The previous prime is 11992059495859. The next prime is 11992059496069. The reversal of 11992059495900 is 959495029911.

11992059495900 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 2 + 0 + 59 + 495 + 90 + 0 = 666.

11992059495900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2291619684 + ... + 2291624916.

It is an arithmetic number, because the mean of its divisors is an integer number (39979385600).

Almost surely, 211992059495900 is an apocalyptic number.

11992059495900 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 11992059495900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23028126105600).

11992059495900 is an abundant number, since it is smaller than the sum of its proper divisors (34064192715300).

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

11992059495900 is a wasteful number, since it uses less digits than its factorization.

11992059495900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 63.

The spelling of 11992059495900 in words is "eleven trillion, nine hundred ninety-two billion, fifty-nine million, four hundred ninety-five thousand, nine hundred".