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12682350140 = 2253727163241
BaseRepresentation
bin10111100111110110…
…10100111000111100
31012201212002010202212
423303323110320330
5201433140201030
65454242435552
7626165124515
oct136373247074
935655063685
1012682350140
115418946409
12255b362bb8
1312716343c5
148844bda0c
154e3608595
hex2f3ed4e3c

12682350140 has 48 divisors (see below), whose sum is σ = 27454111104. Its totient is φ = 4917542400.

The previous prime is 12682350113. The next prime is 12682350143. The reversal of 12682350140 is 4105328621.

It is a junction number, because it is equal to n+sod(n) for n = 12682350097 and 12682350106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12682350143) 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, 168920 + ... + 232160.

It is an arithmetic number, because the mean of its divisors is an integer number (571960648).

Almost surely, 212682350140 is an apocalyptic number.

12682350140 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 12682350140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727055552).

12682350140 is an abundant number, since it is smaller than the sum of its proper divisors (14771760964).

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

12682350140 is a wasteful number, since it uses less digits than its factorization.

12682350140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63558 (or 63556 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 12682350140 its reverse (4105328621), we get a palindrome (16787678761).

The spelling of 12682350140 in words is "twelve billion, six hundred eighty-two million, three hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 271 370 542 740 1084 1355 2710 5420 10027 20054 40108 50135 63241 100270 126482 200540 252964 316205 632410 1264820 2339917 4679834 9359668 11699585 17138311 23399170 34276622 46798340 68553244 85691555 171383110 342766220 634117507 1268235014 2536470028 3170587535 6341175070 12682350140