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2055279616 = 21013181853
BaseRepresentation
bin111101010000001…
…0001010000000000
312022020101000121021
41322200101100000
513202122421431
6535535435224
7101634405565
oct17240212000
95266330537
102055279616
11965173aa5
12494385b14
13269a608b0
14156d6886c
15c0681b11
hex7a811400

2055279616 has 88 divisors (see below), whose sum is σ = 4454255624. Its totient is φ = 942243840.

The previous prime is 2055279607. The next prime is 2055279623. The reversal of 2055279616 is 6169725502.

It can be written as a sum of positive squares in 4 ways, for example, as 332697600 + 1722582016 = 18240^2 + 41504^2 .

It is a congruent number.

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, 2409046 + ... + 2409898.

Almost surely, 22055279616 is an apocalyptic number.

2055279616 is a gapful number since it is divisible by the number (26) 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 2055279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227127812).

2055279616 is an abundant number, since it is smaller than the sum of its proper divisors (2398976008).

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

2055279616 is a wasteful number, since it uses less digits than its factorization.

2055279616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 2055279616 is about 45335.1918050426. The cubic root of 2055279616 is about 1271.4237068775.

The spelling of 2055279616 in words is "two billion, fifty-five million, two hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 181 208 256 362 416 512 724 832 853 1024 1448 1664 1706 2353 2896 3328 3412 4706 5792 6656 6824 9412 11089 11584 13312 13648 18824 22178 23168 27296 37648 44356 46336 54592 75296 88712 92672 109184 150592 154393 177424 185344 218368 301184 308786 354848 436736 602368 617572 709696 873472 1204736 1235144 1419392 2007109 2409472 2470288 2838784 4014218 4940576 5677568 8028436 9881152 11355136 16056872 19762304 32113744 39524608 64227488 79049216 128454976 158098432 256909952 513819904 1027639808 2055279616