Search a number
-
+
12934785376 = 2517157269563
BaseRepresentation
bin11000000101111100…
…10010100101100000
31020101110002011211001
430002332102211200
5202442301113001
65535301201344
7635351601352
oct140276224540
936343064731
1012934785376
115538392777
12260ba00254
1312b1a1a376
148a9c310d2
1550a86e001
hex302f92960

12934785376 has 96 divisors (see below), whose sum is σ = 27284312160. Its totient is φ = 6015000576.

The previous prime is 12934785361. The next prime is 12934785377. The reversal of 12934785376 is 67358743921.

It is a super-2 number, since 2×129347853762 (a number of 21 digits) contains 22 as substring.

Its product of digits (7620480) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12934785377) 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, 22974471 + ... + 22975033.

It is an arithmetic number, because the mean of its divisors is an integer number (284211585).

Almost surely, 212934785376 is an apocalyptic number.

12934785376 is a gapful number since it is divisible by the number (16) 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 12934785376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13642156080).

12934785376 is an abundant number, since it is smaller than the sum of its proper divisors (14349526784).

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

12934785376 is a wasteful number, since it uses less digits than its factorization.

12934785376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The spelling of 12934785376 in words is "twelve billion, nine hundred thirty-four million, seven hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 157 269 272 314 538 544 563 628 1076 1126 1256 2152 2252 2512 2669 4304 4504 4573 5024 5338 8608 9008 9146 9571 10676 18016 18292 19142 21352 36584 38284 42233 42704 73168 76568 84466 85408 88391 146336 151447 153136 168932 176782 302894 306272 337864 353564 605788 675728 707128 717961 1211576 1351456 1414256 1435922 1502647 2423152 2574599 2828512 2871844 3005294 4846304 5149198 5743688 6010588 10298396 11487376 12021176 20596792 22974752 23777179 24042352 41193584 47554358 48084704 82387168 95108716 190217432 380434864 404212043 760869728 808424086 1616848172 3233696344 6467392688 12934785376