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2004690390912 = 27331137101103137
BaseRepresentation
bin11101001011000000110…
…110111100111110000000
321002122110022122101201000
4131023000312330332000
5230321101220002122
64132535252212000
7264556045112106
oct35130066747600
97078408571630
102004690390912
11703203510a10
1228463290a000
1311707020c501
146d055799c76
153722eb780ac
hex1d2c0dbcf80

2004690390912 has 1024 divisors, whose sum is σ = 6808910284800. Its totient is φ = 575299584000.

The previous prime is 2004690390893. The next prime is 2004690390929. The reversal of 2004690390912 is 2190930964002.

It is a happy number.

2004690390912 is a `hidden beast` number, since 200 + 46 + 9 + 0 + 390 + 9 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14632776508 + ... + 14632776644.

It is an arithmetic number, because the mean of its divisors is an integer number (6649326450).

Almost surely, 22004690390912 is an apocalyptic number.

2004690390912 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 2004690390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404455142400).

2004690390912 is an abundant number, since it is smaller than the sum of its proper divisors (4804219893888).

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

2004690390912 is a wasteful number, since it uses less digits than its factorization.

2004690390912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 2004690390912 in words is "two trillion, four billion, six hundred ninety million, three hundred ninety thousand, nine hundred twelve".