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12771009160 = 2357213501217
BaseRepresentation
bin10111110010011011…
…00010001010001000
31012222000220111002021
423321031202022020
5202123334243120
65511131014224
7631322533600
oct137115421210
935860814067
1012771009160
1154639a1228
122584b9a374
131286b06b70
1489219bc00
154eb2bcaaa
hex2f9362288

12771009160 has 96 divisors (see below), whose sum is σ = 35997476760. Its totient is φ = 4041805824.

The previous prime is 12771009157. The next prime is 12771009221. The reversal of 12771009160 is 6190017721.

It can be written as a sum of positive squares in 4 ways, for example, as 7204953924 + 5566055236 = 84882^2 + 74606^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225129 + ... + 276088.

Almost surely, 212771009160 is an apocalyptic number.

12771009160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12771009160 is an abundant number, since it is smaller than the sum of its proper divisors (23226467600).

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

12771009160 is a wasteful number, since it uses less digits than its factorization.

12771009160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501255 (or 501244 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 34.

The spelling of 12771009160 in words is "twelve billion, seven hundred seventy-one million, nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 501217 1002434 2004868 2506085 3508519 4009736 5012170 6515821 7017038 10024340 13031642 14034076 17542595 20048680 24559633 26063284 28068152 32579105 35085190 45610747 49119266 52126568 65158210 70170380 91221494 98238532 122798165 130316420 140340760 182442988 196477064 228053735 245596330 260632840 319275229 364885976 456107470 491192660 638550458 912214940 982385320 1277100916 1596376145 1824429880 2554201832 3192752290 6385504580 12771009160