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2049086409320 = 235731549453029
BaseRepresentation
bin11101110100010111000…
…100010100101001101000
321020220001100120210210002
4131310113010110221220
5232033012110044240
64205200505042132
7301020162046106
oct35642704245150
97226040523702
102049086409320
11720015949715
12291162a86348
1311b2c6c5c6a2
1471267b26c76
153847c55dd15
hex1dd17114a68

2049086409320 has 64 divisors (see below), whose sum is σ = 4676628690000. Its totient is φ = 807883020288.

The previous prime is 2049086409283. The next prime is 2049086409343. The reversal of 2049086409320 is 239046809402.

It can be written as a sum of positive squares in 8 ways, for example, as 1530965731684 + 518120677636 = 1237322^2 + 719806^2 .

It is a super-2 number, since 2×20490864093202 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4296566 + ... + 4749594.

Almost surely, 22049086409320 is an apocalyptic number.

2049086409320 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 2049086409320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338314345000).

2049086409320 is an abundant number, since it is smaller than the sum of its proper divisors (2627542280680).

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

2049086409320 is a wasteful number, since it uses less digits than its factorization.

2049086409320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454662 (or 454658 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 2049086409320 in words is "two trillion, forty-nine billion, eighty-six million, four hundred nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 1549 2920 3098 6196 7745 12392 15490 30980 61960 113077 226154 452308 453029 565385 904616 906058 1130770 1812116 2261540 2265145 3624232 4523080 4530290 9060580 18121160 33071117 66142234 132284468 165355585 264568936 330711170 661422340 701741921 1322844680 1403483842 2806967684 3508709605 5613935368 7017419210 14034838420 28069676840 51227160233 102454320466 204908640932 256135801165 409817281864 512271602330 1024543204660 2049086409320