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12773162080 = 255714976541
BaseRepresentation
bin10111110010101011…
…01111110001100000
31012222011221212100001
423321111233301200
5202124412141310
65511245105344
7631350041410
oct137125576140
935864855301
1012773162080
1154651317a8
122585858254
1312873aba93
1489259c640
154eb59593a
hex2f956fc60

12773162080 has 96 divisors (see below), whose sum is σ = 34719451200. Its totient is φ = 4349921280.

The previous prime is 12773162071. The next prime is 12773162119. The reversal of 12773162080 is 8026137721.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 128610 + ... + 205150.

It is an arithmetic number, because the mean of its divisors is an integer number (361660950).

Almost surely, 212773162080 is an apocalyptic number.

12773162080 is a gapful number since it is divisible by the number (10) 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 12773162080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359725600).

12773162080 is an abundant number, since it is smaller than the sum of its proper divisors (21946289120).

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

12773162080 is a wasteful number, since it uses less digits than its factorization.

12773162080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76712 (or 76704 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 12773162080 in words is "twelve billion, seven hundred seventy-three million, one hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 149 160 224 280 298 560 596 745 1043 1120 1192 1490 2086 2384 2980 4172 4768 5215 5960 8344 10430 11920 16688 20860 23840 33376 41720 76541 83440 153082 166880 306164 382705 535787 612328 765410 1071574 1224656 1530820 2143148 2449312 2678935 3061640 4286296 5357870 6123280 8572592 10715740 11404609 12246560 17145184 21431480 22809218 42862960 45618436 57023045 79832263 85725920 91236872 114046090 159664526 182473744 228092180 319329052 364947488 399161315 456184360 638658104 798322630 912368720 1277316208 1596645260 1824737440 2554632416 3193290520 6386581040 12773162080