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12788143280 = 24511101143881
BaseRepresentation
bin10111110100011101…
…11001010010110000
31020000020010222200022
423322032321102300
5202142231041110
65512542143012
7631621265363
oct137216712260
936006128608
1012788143280
115472634360
12258a881a68
13128a5259b3
1489457c0da
154eca54755
hex2fa3b94b0

12788143280 has 80 divisors (see below), whose sum is σ = 32756751648. Its totient is φ = 4604160000.

The previous prime is 12788143261. The next prime is 12788143289. The reversal of 12788143280 is 8234188721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (12788143289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16940 + ... + 160820.

Almost surely, 212788143280 is an apocalyptic number.

12788143280 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 12788143280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378375824).

12788143280 is an abundant number, since it is smaller than the sum of its proper divisors (19968608368).

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

12788143280 is a wasteful number, since it uses less digits than its factorization.

12788143280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144006 (or 144000 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 12788143280 in words is "twelve billion, seven hundred eighty-eight million, one hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 143881 287762 575524 719405 1151048 1438810 1582691 2302096 2877620 3165382 5755240 6330764 7913455 11510480 12661528 14531981 15826910 25323056 29063962 31653820 58127924 63307640 72659905 116255848 126615280 145319810 159851791 232511696 290639620 319703582 581279240 639407164 799258955 1162558480 1278814328 1598517910 2557628656 3197035820 6394071640 12788143280