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12773427820 = 22541472711223
BaseRepresentation
bin10111110010101101…
…10000101001101100
31012222012110100212021
423321112300221230
5202124444142240
65511254515524
7631352226226
oct137126605154
935865410767
1012773427820
1154652a341a
122585965ba4
131287472a1a
1489262b416
154eb5e954a
hex2f95b0a6c

12773427820 has 96 divisors (see below), whose sum is σ = 28189679616. Its totient is φ = 4856716800.

The previous prime is 12773427781. The next prime is 12773427827. The reversal of 12773427820 is 2872437721.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12773427827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10443729 + ... + 10444951.

It is an arithmetic number, because the mean of its divisors is an integer number (293642496).

Almost surely, 212773427820 is an apocalyptic number.

12773427820 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 12773427820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094839808).

12773427820 is an abundant number, since it is smaller than the sum of its proper divisors (15416251796).

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

12773427820 is a wasteful number, since it uses less digits than its factorization.

12773427820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

Subtracting from 12773427820 its reverse (2872437721), we obtain a palindrome (9900990099).

The spelling of 12773427820 in words is "twelve billion, seven hundred seventy-three million, four hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 271 410 470 542 820 940 1084 1223 1355 1927 2446 2710 3854 4892 5420 6115 7708 9635 11111 12230 12737 19270 22222 24460 25474 38540 44444 50143 50948 55555 57481 63685 100286 111110 114962 127370 200572 222220 229924 250715 254740 287405 331433 501430 522217 574810 662866 1002860 1044434 1149620 1325732 1657165 2088868 2356721 2611085 3314330 4713442 5222170 6628660 9426884 10444340 11783605 13588753 15577351 23567210 27177506 31154702 47134420 54355012 62309404 67943765 77886755 135887530 155773510 271775060 311547020 638671391 1277342782 2554685564 3193356955 6386713910 12773427820