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12800127940 = 2251016336697
BaseRepresentation
bin10111110101111001…
…00111001111000100
31020001001200212112121
423322330213033010
5202203313043230
65514051055324
7632125202155
oct137274471704
936031625477
1012800127940
11547937a636
1225928a1544
13128cb60a02
14895dbb92c
154edb2077a
hex2faf273c4

12800127940 has 24 divisors (see below), whose sum is σ = 27146414232. Its totient is φ = 5069356800.

The previous prime is 12800127929. The next prime is 12800127953. The reversal of 12800127940 is 4972100821.

It can be written as a sum of positive squares in 4 ways, for example, as 8180478916 + 4619649024 = 90446^2 + 67968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12800127896 and 12800127905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3166329 + ... + 3170368.

It is an arithmetic number, because the mean of its divisors is an integer number (1131100593).

Almost surely, 212800127940 is an apocalyptic number.

12800127940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12800127940 is an abundant number, since it is smaller than the sum of its proper divisors (14346286292).

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

12800127940 is a wasteful number, since it uses less digits than its factorization.

12800127940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336807 (or 6336805 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 12800127940 in words is "twelve billion, eight hundred million, one hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6336697 12673394 25346788 31683485 63366970 126733940 640006397 1280012794 2560025588 3200031985 6400063970 12800127940