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11921024286864 = 243473113178643
BaseRepresentation
bin1010110101111001010001…
…1010110000000010010000
31120012122020200100012020000
42231132110122300002100
53030303224204134424
641204235402250000
72340160044354000
oct255362432600220
946178220305200
1011921024286864
11388675047a6a0
12140645aab6900
136861bc849694
142d2da2cb4000
1515a15e82e3c9
hexad7946b0090

11921024286864 has 800 divisors, whose sum is σ = 45311023718400. Its totient is φ = 2996448940800.

The previous prime is 11921024286863. The next prime is 11921024286923. The reversal of 11921024286864 is 46868242012911.

11921024286864 is a `hidden beast` number, since 1 + 1 + 92 + 10 + 2 + 428 + 68 + 64 = 666.

It is a super-2 number, since 2×119210242868642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11921024286864.

It is not an unprimeable number, because it can be changed into a prime (11921024286863) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151544727 + ... + 151623369.

It is an arithmetic number, because the mean of its divisors is an integer number (56638779648).

Almost surely, 211921024286864 is an apocalyptic number.

11921024286864 is a gapful number since it is divisible by the number (14) 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 11921024286864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655511859200).

11921024286864 is an abundant number, since it is smaller than the sum of its proper divisors (33389999431536).

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

11921024286864 is a wasteful number, since it uses less digits than its factorization.

11921024286864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78726 (or 78697 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 11921024286864 in words is "eleven trillion, nine hundred twenty-one billion, twenty-four million, two hundred eighty-six thousand, eight hundred sixty-four".