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11910891888000 = 273105371801
BaseRepresentation
bin1010110101010011100001…
…1110101101110110000000
31120011200002112110000000000
42231110320132231312000
53030122001310404000
641155442130000000
72336351001400350
oct255247036556600
946150075400000
1011910891888000
113882420a55436
1214044b1716000
136852665b38b1
142d26c1328b60
15159c6a01c000
hexad5387add80

11910891888000 has 1408 divisors, whose sum is σ = 50793823679040. Its totient is φ = 2720977920000.

The previous prime is 11910891887957. The next prime is 11910891888017. The reversal of 11910891888000 is 88819801911.

11910891888000 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 6613487100 + ... + 6613488900.

Almost surely, 211910891888000 is an apocalyptic number.

11910891888000 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 11910891888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25396911839520).

11910891888000 is an abundant number, since it is smaller than the sum of its proper divisors (38882931791040).

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

11910891888000 is an frugal number, since it uses more digits than its factorization.

11910891888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 54.

The spelling of 11910891888000 in words is "eleven trillion, nine hundred ten billion, eight hundred ninety-one million, eight hundred eighty-eight thousand".