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11465220327912 = 233213234911084669
BaseRepresentation
bin1010011011010111010001…
…1000101000100111101000
31111121001201220202222200200
42212311310120220213220
53000321232400443122
640215014405432200
72262222563550051
oct246656430504750
944531656688620
1011465220327912
113720410a82a5a
12135205310b660
1365221cba1bb0
142b8cc3643728
1514d383c7e5ac
hexa6d746289e8

11465220327912 has 192 divisors, whose sum is σ = 34965248572800. Its totient is φ = 3367503659520.

The previous prime is 11465220327863. The next prime is 11465220327931. The reversal of 11465220327912 is 21972302256411.

11465220327912 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 522 + 0 + 32 + 7 + 91 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10027914 + ... + 11112582.

It is an arithmetic number, because the mean of its divisors is an integer number (182110669650).

Almost surely, 211465220327912 is an apocalyptic number.

11465220327912 is a gapful number since it is divisible by the number (12) 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 11465220327912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482624286400).

11465220327912 is an abundant number, since it is smaller than the sum of its proper divisors (23500028244888).

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

11465220327912 is a wasteful number, since it uses less digits than its factorization.

11465220327912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085208 (or 1085201 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11465220327912 in words is "eleven trillion, four hundred sixty-five billion, two hundred twenty million, three hundred twenty-seven thousand, nine hundred twelve".