Search a number
-
+
12929434686486 = 232171312771164413
BaseRepresentation
bin1011110000100101111001…
…0111001001010000010110
31200210001010112102012001100
42330021132113021100112
53143313440234431421
643255411133010530
72503056305340363
oct274113627112026
950701115365040
1012929434686486
1141353848a127a
121549989623a46
1372a31839b336
14329b062d546a
151764ce60ac26
hexbc25e5c9416

12929434686486 has 96 divisors (see below), whose sum is σ = 29995993973088. Its totient is φ = 4010793845760.

The previous prime is 12929434686481. The next prime is 12929434686491. The reversal of 12929434686486 is 68468643492921.

It is a happy number.

12929434686486 is a `hidden beast` number, since 1 + 2 + 9 + 29 + 4 + 3 + 46 + 86 + 486 = 666.

It is an interprime number because it is at equal distance from previous prime (12929434686481) and next prime (12929434686491).

It is a super-4 number, since 4×129294346864864 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12929434686481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10521616 + ... + 11686028.

It is an arithmetic number, because the mean of its divisors is an integer number (312458270553).

Almost surely, 212929434686486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12929434686486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997996986544).

12929434686486 is an abundant number, since it is smaller than the sum of its proper divisors (17066559286602).

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

12929434686486 is a wasteful number, since it uses less digits than its factorization.

12929434686486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164846 (or 1164843 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 12929434686486 in words is "twelve trillion, nine hundred twenty-nine billion, four hundred thirty-four million, six hundred eighty-six thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 131 153 262 277 306 393 554 786 831 1179 1662 2227 2358 2493 4454 4709 4986 6681 9418 13362 14127 20043 28254 36287 40086 42381 72574 84762 108861 217722 326583 616879 653166 1164413 1233758 1850637 2328826 3493239 3701274 5551911 6986478 10479717 11103822 19795021 20959434 39590042 59385063 118770126 152538103 178155189 305076206 322542401 356310378 457614309 645084802 915228618 967627203 1372842927 1935254406 2593147751 2745685854 2902881609 5186295502 5483220817 5805763218 7779443253 10966441634 15558886506 16449662451 23338329759 32899324902 42253054531 46676659518 49348987353 84506109062 98697974706 126759163593 253518327186 380277490779 718301927027 760554981558 1436603854054 2154905781081 4309811562162 6464717343243 12929434686486