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1320226720160 = 255160922212309
BaseRepresentation
bin10011001101100011101…
…001010000100110100000
311200012201212111022001212
4103031203221100212200
5133112311020021120
62450300452245252
7164245306651115
oct23154351204640
94605655438055
101320226720160
114699a5624447
12193a51310828
139765c7534ca
1447c83a0a90c
152451ea276c5
hex13363a509a0

1320226720160 has 96 divisors (see below), whose sum is σ = 3123731595600. Its totient is φ = 527296389120.

The previous prime is 1320226720157. The next prime is 1320226720237. The reversal of 1320226720160 is 610276220231.

It can be written as a sum of positive squares in 8 ways, for example, as 1230085064464 + 90141655696 = 1109092^2 + 300236^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 571773086 + ... + 571775394.

Almost surely, 21320226720160 is an apocalyptic number.

1320226720160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320226720160 is an abundant number, since it is smaller than the sum of its proper divisors (1803504875440).

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

1320226720160 is a wasteful number, since it uses less digits than its factorization.

1320226720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 1320226720160 in words is "one trillion, three hundred twenty billion, two hundred twenty-six million, seven hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1609 2221 2309 3218 4442 4618 6436 8045 8884 9236 11105 11545 12872 16090 17768 18472 22210 23090 25744 32180 35536 36944 44420 46180 51488 64360 71072 73888 88840 92360 128720 177680 184720 257440 355360 369440 3573589 3715181 5128289 7147178 7430362 10256578 14294356 14860724 17867945 18575905 20513156 25641445 28588712 29721448 35735890 37151810 41026312 51282890 57177424 59442896 71471780 74303620 82052624 102565780 114354848 118885792 142943560 148607240 164105248 205131560 285887120 297214480 410263120 571774240 594428960 820526240 8251417001 16502834002 33005668004 41257085005 66011336008 82514170010 132022672016 165028340020 264045344032 330056680040 660113360080 1320226720160