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2006186929740 = 2233575371141041
BaseRepresentation
bin11101001100011010000…
…011110010111001001100
321002210022121122110001000
4131030122003302321030
5230332132323222430
64133343552220300
7264641116353060
oct35143203627114
97083277573030
102006186929740
11703901247764
1228498bb3a690
1311724b28c246
146d15843baa0
15372bb23be60
hex1d31a0f2e4c

2006186929740 has 384 divisors, whose sum is σ = 7370110218240. Its totient is φ = 443565158400.

The previous prime is 2006186929723. The next prime is 2006186929751. The reversal of 2006186929740 is 479296816002.

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

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, 14153620 + ... + 14294660.

It is an arithmetic number, because the mean of its divisors is an integer number (19192995360).

Almost surely, 22006186929740 is an apocalyptic number.

2006186929740 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 2006186929740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685055109120).

2006186929740 is an abundant number, since it is smaller than the sum of its proper divisors (5363923288500).

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

2006186929740 is a wasteful number, since it uses less digits than its factorization.

2006186929740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141190 (or 141182 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2006186929740 in words is "two trillion, six billion, one hundred eighty-six million, nine hundred twenty-nine thousand, seven hundred forty".