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1281285899721 = 3417327272
BaseRepresentation
bin10010101001010010100…
…101110100010111001001
311112111020000110122210000
4102221102211310113021
5131443033142242341
62420340431313213
7161366313310302
oct22512245642711
94474200418700
101281285899721
1145443253a713
121883a407b809
1393a94c5b819
144602bd937a9
15234e10118b6
hex12a529745c9

1281285899721 has 45 divisors (see below), whose sum is σ = 1927799039991. Its totient is φ = 848084920848.

The previous prime is 1281285899701. The next prime is 1281285899749. The reversal of 1281285899721 is 1279985821821.

The square root of 1281285899721 is 1131939.

It is a perfect power (a square), and thus also a powerful number.

1281285899721 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 28 + 589 + 9 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1165525364025 + 115760535696 = 1079595^2 + 340236^2 .

It is not a de Polignac number, because 1281285899721 - 25 = 1281285899689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1281285899701) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1762428660 + ... + 1762429386.

Almost surely, 21281285899721 is an apocalyptic number.

1281285899721 is the 1131939-th square number.

1281285899721 is the 565970-th centered octagonal number.

It is an amenable number.

1281285899721 is a deficient number, since it is larger than the sum of its proper divisors (646513140270).

1281285899721 is an frugal number, since it uses more digits than its factorization.

1281285899721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 903 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 63.

The spelling of 1281285899721 in words is "one trillion, two hundred eighty-one billion, two hundred eighty-five million, eight hundred ninety-nine thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 81 173 519 727 1557 2181 4671 6543 14013 19629 29929 58887 89787 125771 269361 377313 528529 808083 1131939 1585587 2424249 3395817 4756761 10187451 14270283 21758383 42810849 65275149 91435517 195825447 274306551 587476341 822919653 1762429023 2468758959 7406276877 15818344441 47455033323 142365099969 427095299907 1281285899721