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2086443909504 = 273721613449
BaseRepresentation
bin11110010111001001101…
…111111000000110000000
321101110110212022110000000
4132113021233320012000
5233141014120101004
64234255450000000
7303512011416603
oct36271157700600
97343425273000
102086443909504
11734946214509
12298449a16000
1312199b70b696
1472dad38c33a
153941706cc39
hex1e5c9bf8180

2086443909504 has 256 divisors, whose sum is σ = 6238623960000. Its totient is φ = 694957916160.

The previous prime is 2086443909467. The next prime is 2086443909551. The reversal of 2086443909504 is 4059093446802.

2086443909504 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 4 + 43 + 90 + 9 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604939972 + ... + 604943420.

Almost surely, 22086443909504 is an apocalyptic number.

2086443909504 is a gapful number since it is divisible by the number (24) 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 2086443909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119311980000).

2086443909504 is an abundant number, since it is smaller than the sum of its proper divisors (4152180050496).

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

2086443909504 is an frugal number, since it uses more digits than its factorization.

2086443909504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2086443909504 in words is "two trillion, eighty-six billion, four hundred forty-three million, nine hundred nine thousand, five hundred four".