Search a number
-
+
12641106501 = 3223947912269
BaseRepresentation
bin10111100010111011…
…11111101001000101
31012121222110202010200
423301131333221011
5201342110402001
65450210441113
7625154426622
oct136135775105
935558422120
1012641106501
1153a7636461
122549593199
131265c2379a
1487cc25349
154debad086
hex2f177fa45

12641106501 has 24 divisors (see below), whose sum is σ = 18375552000. Its totient is φ = 8373940512.

The previous prime is 12641106493. The next prime is 12641106523. The reversal of 12641106501 is 10560114621.

12641106501 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 1 + 0 + 650 + 1 = 666.

It is not a de Polignac number, because 12641106501 - 23 = 12641106493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641105501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024195 + ... + 1036463.

It is an arithmetic number, because the mean of its divisors is an integer number (765648000).

Almost surely, 212641106501 is an apocalyptic number.

It is an amenable number.

12641106501 is a deficient number, since it is larger than the sum of its proper divisors (5734445499).

12641106501 is a wasteful number, since it uses less digits than its factorization.

12641106501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12641106501 in words is "twelve billion, six hundred forty-one million, one hundred six thousand, five hundred one".

Divisors: 1 3 9 239 479 717 1437 2151 4311 12269 36807 110421 114481 343443 1030329 2932291 5876851 8796873 17630553 26390619 52891659 1404567389 4213702167 12641106501