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13881619296 = 25345355563
BaseRepresentation
bin11001110110110100…
…01011001101100000
31022211102201022210000
430323122023031200
5211412143304141
610213243140000
71000666550166
oct147332131540
938742638700
1013881619296
1159838a3046
122834b14600
131402c3101c
1495989d236
15563a4c5b6
hex33b68b360

13881619296 has 60 divisors (see below), whose sum is σ = 40825464372. Its totient is φ = 4627205568.

The previous prime is 13881619291. The next prime is 13881619313. The reversal of 13881619296 is 69291618831.

13881619296 is a `hidden beast` number, since 13 + 8 + 8 + 1 + 619 + 2 + 9 + 6 = 666.

13881619296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13881619291) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2675190 + ... + 2680373.

Almost surely, 213881619296 is an apocalyptic number.

13881619296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13881619296 is an abundant number, since it is smaller than the sum of its proper divisors (26943845076).

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

13881619296 is an equidigital number, since it uses as much as digits as its factorization.

13881619296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355585 (or 5355568 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 13881619296 in words is "thirteen billion, eight hundred eighty-one million, six hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5355563 10711126 16066689 21422252 32133378 42844504 48200067 64266756 85689008 96400134 128533512 144600201 171378016 192800268 257067024 289200402 385600536 433800603 514134048 578400804 771201072 867601206 1156801608 1542402144 1735202412 2313603216 3470404824 4627206432 6940809648 13881619296