Search a number
-
+
12796350504 = 2337419181787
BaseRepresentation
bin10111110101011100…
…01101000000101000
31020000210120221212120
423322232031000220
5202201331204004
65513434111240
7632051120220
oct137256150050
936023527776
1012796350504
11547722a593
12259157b520
13128c13a542
148956b7080
154ed6263d9
hex2fab8d028

12796350504 has 64 divisors (see below), whose sum is σ = 36648460800. Its totient is φ = 3647354304.

The previous prime is 12796350473. The next prime is 12796350563. The reversal of 12796350504 is 40505369721.

It is a super-3 number, since 3×127963505043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20502 + ... + 161285.

It is an arithmetic number, because the mean of its divisors is an integer number (572632200).

Almost surely, 212796350504 is an apocalyptic number.

12796350504 is a gapful number since it is divisible by the number (14) 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 12796350504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324230400).

12796350504 is an abundant number, since it is smaller than the sum of its proper divisors (23852110296).

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

12796350504 is a wasteful number, since it uses less digits than its factorization.

12796350504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182222 (or 182218 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 12796350504 in words is "twelve billion, seven hundred ninety-six million, three hundred fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 419 838 1257 1676 2514 2933 3352 5028 5866 8799 10056 11732 17598 23464 35196 70392 181787 363574 545361 727148 1090722 1272509 1454296 2181444 2545018 3817527 4362888 5090036 7635054 10180072 15270108 30540216 76168753 152337506 228506259 304675012 457012518 533181271 609350024 914025036 1066362542 1599543813 1828050072 2132725084 3199087626 4265450168 6398175252 12796350504