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2044327832820 = 223657213435119
BaseRepresentation
bin11101101111111011011…
…011110010110011110100
321020102202201111002000000
4131233323123302303310
5231443240411122240
64203052400151300
7300461230603200
oct35577333626364
97212681432000
102044327832820
11718aa3847769
12290255308530
1311aa1912c850
1470d35b4bb00
153829e8e5430
hex1dbfb6f2cf4

2044327832820 has 1008 divisors, whose sum is σ = 8252679536640. Its totient is φ = 421217459712.

The previous prime is 2044327832803. The next prime is 2044327832839. The reversal of 2044327832820 is 282387234402.

2044327832820 is a `hidden beast` number, since 2 + 0 + 44 + 327 + 8 + 3 + 282 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 399358221 + ... + 399363339.

It is an arithmetic number, because the mean of its divisors is an integer number (8187182080).

Almost surely, 22044327832820 is an apocalyptic number.

2044327832820 is a gapful number since it is divisible by the number (20) 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 2044327832820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126339768320).

2044327832820 is an abundant number, since it is smaller than the sum of its proper divisors (6208351703820).

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

2044327832820 is a wasteful number, since it uses less digits than its factorization.

2044327832820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 2044327832820 in words is "two trillion, forty-four billion, three hundred twenty-seven million, eight hundred thirty-two thousand, eight hundred twenty".