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2006637115392 = 211327131770373
BaseRepresentation
bin11101001100110100111…
…001000111100000000000
321002211110222202020122200
4131030310321013200000
5230334043100143032
64133500353233200
7264655224024510
oct35146471074000
97084428666580
102006637115392
1170401237a918
12284a96862800
131172c06225a0
146d19c147840
15372e5a1547c
hex1d334e47800

2006637115392 has 576 divisors, whose sum is σ = 7552661538240. Its totient is φ = 498085134336.

The previous prime is 2006637115339. The next prime is 2006637115403. The reversal of 2006637115392 is 2935117366002.

2006637115392 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 637 + 1 + 1 + 5 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28479118 + ... + 28549490.

It is an arithmetic number, because the mean of its divisors is an integer number (13112259615).

Almost surely, 22006637115392 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 2006637115392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776330769120).

2006637115392 is an abundant number, since it is smaller than the sum of its proper divisors (5546024422848).

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

2006637115392 is a wasteful number, since it uses less digits than its factorization.

2006637115392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70438 (or 70415 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2006637115392 in words is "two trillion, six billion, six hundred thirty-seven million, one hundred fifteen thousand, three hundred ninety-two".