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2012414918584 = 23751723101379
BaseRepresentation
bin11101010010001101010…
…001101011111110111000
321010101101122201001121111
4131102031101223332320
5230432411204343314
64140253551450104
7265251342400000
oct35221521537670
97111348631544
102012414918584
11706507837984
12286029826934
13117a01661a45
146d589637000
1537532dabec4
hex1d48d46bfb8

2012414918584 has 384 divisors, whose sum is σ = 4924839398400. Its totient is φ = 766721894400.

The previous prime is 2012414918537. The next prime is 2012414918599. The reversal of 2012414918584 is 4858194142102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5309801707 + ... + 5309802085.

It is an arithmetic number, because the mean of its divisors is an integer number (12825102600).

Almost surely, 22012414918584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012414918584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462419699200).

2012414918584 is an abundant number, since it is smaller than the sum of its proper divisors (2912424479816).

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

2012414918584 is a wasteful number, since it uses less digits than its factorization.

2012414918584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 2012414918584 in words is "two trillion, twelve billion, four hundred fourteen million, nine hundred eighteen thousand, five hundred eighty-four".