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2124246424212 = 22321124217431559
BaseRepresentation
bin11110111010010110111…
…101000001101010010100
321112002001101102011101100
4132322112331001222110
5234300424041033322
64303510525030100
7306320543454003
oct36722675015224
97462041364340
102124246424212
11749984800300
122a38399b5330
13125414430093
1474b57b74c3a
153a3cab82dac
hex1ee96f41a94

2124246424212 has 216 divisors, whose sum is σ = 5927929338240. Its totient is φ = 640906358400.

The previous prime is 2124246424207. The next prime is 2124246424243.

2124246424212 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 2 + 4 + 642 + 4 + 2 + 1 + 2 = 666.

2124246424212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1362569089 + ... + 1362570647.

Almost surely, 22124246424212 is an apocalyptic number.

2124246424212 is a gapful number since it is divisible by the number (22) 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 2124246424212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963964669120).

2124246424212 is an abundant number, since it is smaller than the sum of its proper divisors (3803682914028).

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

2124246424212 is a wasteful number, since it uses less digits than its factorization.

2124246424212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2739 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 2124246424212 in words is "two trillion, one hundred twenty-four billion, two hundred forty-six million, four hundred twenty-four thousand, two hundred twelve".