Search a number
-
+
13412808096 = 253294817819
BaseRepresentation
bin11000111110111011…
…10011010110100000
31021121202120020201020
430133131303112200
5204432134324341
610054535005440
7653244662532
oct143735632640
937552506636
1013412808096
1157631a9276
122723b09880
131359a7904c
14913505852
155377e5566
hex31f7735a0

13412808096 has 48 divisors (see below), whose sum is σ = 36422719200. Its totient is φ = 4316764928.

The previous prime is 13412808061. The next prime is 13412808107. The reversal of 13412808096 is 69080821431.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2406126 + ... + 2411693.

It is an arithmetic number, because the mean of its divisors is an integer number (758806650).

Almost surely, 213412808096 is an apocalyptic number.

13412808096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13412808096 is an abundant number, since it is smaller than the sum of its proper divisors (23009911104).

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

13412808096 is a wasteful number, since it uses less digits than its factorization.

13412808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817861 (or 4817853 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 13412808096 in words is "thirteen billion, four hundred twelve million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4817819 9635638 14453457 19271276 28906914 38542552 57813828 77085104 115627656 139716751 154170208 231255312 279433502 419150253 462510624 558867004 838300506 1117734008 1676601012 2235468016 3353202024 4470936032 6706404048 13412808096