Search a number
-
+
12803939424 = 2532311434133
BaseRepresentation
bin10111110110010110…
…01001110001100000
31020001022212111220200
423323023021301200
5202210302030144
65514304505200
7632202455313
oct137313116140
936038774820
1012803939424
115480543221
12259401b200
131290896823
148966d097a
154ee124c69
hex2fb2c9c60

12803939424 has 72 divisors (see below), whose sum is σ = 37585783872. Its totient is φ = 4130300160.

The previous prime is 12803939413. The next prime is 12803939441. The reversal of 12803939424 is 42493930821.

12803939424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×128039394242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12803939424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 708139 + ... + 725994.

It is an arithmetic number, because the mean of its divisors is an integer number (522024776).

Almost surely, 212803939424 is an apocalyptic number.

It is an amenable number.

12803939424 is an abundant number, since it is smaller than the sum of its proper divisors (24781844448).

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

12803939424 is a wasteful number, since it uses less digits than its factorization.

12803939424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434180 (or 1434169 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12803939424 in words is "twelve billion, eight hundred three million, nine hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 1434133 2868266 4302399 5736532 8604798 11473064 12907197 17209596 22946128 25814394 34419192 44458123 45892256 51628788 68838384 88916246 103257576 133374369 137676768 177832492 206515152 266748738 355664984 400123107 413030304 533497476 711329968 800246214 1066994952 1422659936 1600492428 2133989904 3200984856 4267979808 6401969712 12803939424