Search a number
-
+
12938759208 = 233435955619
BaseRepresentation
bin11000000110011010…
…11100110000101000
31020101201120001220000
430003031130300220
5202444310243313
65535522303000
7635430432024
oct140315346050
936351501800
1012938759208
11553a657331
1226111b7a60
1312b27ac04b
148aa587384
1550ada6673
hex30335cc28

12938759208 has 80 divisors (see below), whose sum is σ = 36342108000. Its totient is φ = 4300828704.

The previous prime is 12938759173. The next prime is 12938759243. The reversal of 12938759208 is 80295783921.

12938759208 is a `hidden beast` number, since 1 + 2 + 9 + 387 + 59 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (12938759173) and next prime (12938759243).

It is a super-2 number, since 2×129387592082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204823 + ... + 260441.

It is an arithmetic number, because the mean of its divisors is an integer number (454276350).

Almost surely, 212938759208 is an apocalyptic number.

12938759208 is a gapful number since it is divisible by the number (18) 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 12938759208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18171054000).

12938759208 is an abundant number, since it is smaller than the sum of its proper divisors (23403348792).

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

12938759208 is a wasteful number, since it uses less digits than its factorization.

12938759208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55996 (or 55983 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 12938759208 in words is "twelve billion, nine hundred thirty-eight million, seven hundred fifty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 359 648 718 1077 1436 2154 2872 3231 4308 6462 8616 9693 12924 19386 25848 29079 38772 55619 58158 77544 111238 116316 166857 222476 232632 333714 444952 500571 667428 1001142 1334856 1501713 2002284 3003426 4004568 4505139 6006852 9010278 12013704 18020556 19967221 36041112 39934442 59901663 79868884 119803326 159737768 179704989 239606652 359409978 479213304 539114967 718819956 1078229934 1437639912 1617344901 2156459868 3234689802 4312919736 6469379604 12938759208