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2165104330144 = 25721380806333
BaseRepresentation
bin11111100000011010010…
…001100100010110100000
321122222111211202211120121
4133200122101210112200
5240433113202031034
64334345111450024
7312265206104200
oct37403221442640
97588454684517
102165104330144
11765240a4a808
122ab741086914
1312922615b292
1476b12262400
153b4bcb2e1b4
hex1f81a4645a0

2165104330144 has 36 divisors (see below), whose sum is σ = 4958475545394. Its totient is φ = 927901855104.

The previous prime is 2165104330127. The next prime is 2165104330153. The reversal of 2165104330144 is 4410334015612.

It can be written as a sum of positive squares in only one way, i.e., 1332667065744 + 832437264400 = 1154412^2 + 912380^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 690401599 + ... + 690404734.

Almost surely, 22165104330144 is an apocalyptic number.

It is an amenable number.

2165104330144 is an abundant number, since it is smaller than the sum of its proper divisors (2793371215250).

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

2165104330144 is a wasteful number, since it uses less digits than its factorization.

2165104330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380806357 (or 1380806342 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 2165104330144 its reverse (4410334015612), we get a palindrome (6575438345756).

The spelling of 2165104330144 in words is "two trillion, one hundred sixty-five billion, one hundred four million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1380806333 2761612666 5523225332 9665644331 11046450664 19331288662 22092901328 38662577324 44185802656 67659510317 77325154648 135319020634 154650309296 270638041268 309300618592 541276082536 1082552165072 2165104330144