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2006288446880 = 25535293553217
BaseRepresentation
bin11101001100100000000…
…111000011010110100000
321002210120200200001101002
4131030200013003112200
5230332334320300010
64133402020131132
7264643461264314
oct35144007032640
97083520601332
102006288446880
11703953585023
122849b9b36aa8
13117266314463
146d167b05b44
15372c50e11a5
hex1d3201c35a0

2006288446880 has 48 divisors (see below), whose sum is σ = 4741200906120. Its totient is φ = 802287747072.

The previous prime is 2006288446823. The next prime is 2006288446901. The reversal of 2006288446880 is 886448826002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1515745096336 + 490543350544 = 1231156^2 + 700388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1211969 + ... + 2341248.

Almost surely, 22006288446880 is an apocalyptic number.

2006288446880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006288446880 is an abundant number, since it is smaller than the sum of its proper divisors (2734912459240).

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

2006288446880 is a wasteful number, since it uses less digits than its factorization.

2006288446880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556761 (or 3556753 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 2006288446880 in words is "two trillion, six billion, two hundred eighty-eight million, four hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3529 7058 14116 17645 28232 35290 56464 70580 112928 141160 282320 564640 3553217 7106434 14212868 17766085 28425736 35532170 56851472 71064340 113702944 142128680 284257360 568514720 12539302793 25078605586 50157211172 62696513965 100314422344 125393027930 200628844688 250786055860 401257689376 501572111720 1003144223440 2006288446880