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2003981761872 = 24334638846671
BaseRepresentation
bin11101001010010110100…
…111101111110101010000
321002120121221020022102000
4131022112213233311100
5230313123312334442
64132341055554000
7264532351631166
oct35122647576520
97076557208360
102003981761872
1170297a508482
1228447552b900
13116c8946b59c
146cdc9617236
15371dc84dd4c
hex1d2969efd50

2003981761872 has 40 divisors (see below), whose sum is σ = 5752169873280. Its totient is φ = 667993920480.

The previous prime is 2003981761849. The next prime is 2003981761877. The reversal of 2003981761872 is 2781671893002.

It is a happy number.

2003981761872 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 9 + 8 + 17 + 618 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003981761877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2319422904 + ... + 2319423767.

It is an arithmetic number, because the mean of its divisors is an integer number (143804246832).

Almost surely, 22003981761872 is an apocalyptic number.

It is an amenable number.

2003981761872 is an abundant number, since it is smaller than the sum of its proper divisors (3748188111408).

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

2003981761872 is a wasteful number, since it uses less digits than its factorization.

2003981761872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638846688 (or 4638846676 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2003981761872 in words is "two trillion, three billion, nine hundred eighty-one million, seven hundred sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4638846671 9277693342 13916540013 18555386684 27833080026 37110773368 41749620039 55666160052 74221546736 83499240078 111332320104 125248860117 166998480156 222664640208 250497720234 333996960312 500995440468 667993920624 1001990880936 2003981761872