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2001207269376 = 21132723674363
BaseRepresentation
bin11101000111110001001…
…111111001100000000000
321002022110120112111012200
4131013301033321200000
5230241433030110001
64131201504553200
7264403532060610
oct35076117714000
97068416474180
102001207269376
11701786372177
12283a20322800
13116936702553
146cc04d52a40
15370c8ea2086
hex1d1f13f9800

2001207269376 has 288 divisors, whose sum is σ = 6892755367680. Its totient is φ = 546912976896.

The previous prime is 2001207269333. The next prime is 2001207269389. The reversal of 2001207269376 is 6739627021002.

2001207269376 is a `hidden beast` number, since 2 + 0 + 0 + 12 + 0 + 7 + 269 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2630371 + ... + 3304733.

It is an arithmetic number, because the mean of its divisors is an integer number (23933178360).

Almost surely, 22001207269376 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 2001207269376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446377683840).

2001207269376 is an abundant number, since it is smaller than the sum of its proper divisors (4891548098304).

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

2001207269376 is a wasteful number, since it uses less digits than its factorization.

2001207269376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674421 (or 674398 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 2001207269376 in words is "two trillion, one billion, two hundred seven million, two hundred sixty-nine thousand, three hundred seventy-six".