Search a number
-
+
13957553385 = 3253314492087
BaseRepresentation
bin11001111111110111…
…10101110011101001
31100000201121011202200
430333323311303221
5212041113202020
610224554450413
71002611150316
oct147773656351
940021534680
1013957553385
115a12747496
122856433a09
131415899839
149659c7d0d
1556a54b590
hex33fef5ce9

13957553385 has 48 divisors (see below), whose sum is σ = 24331881600. Its totient is φ = 7401461760.

The previous prime is 13957553383. The next prime is 13957553417. The reversal of 13957553385 is 58335575931.

13957553385 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 7 + 553 + 3 + 85 = 666.

It is not a de Polignac number, because 13957553385 - 21 = 13957553383 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13957553383) 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, 6686812 + ... + 6688898.

It is an arithmetic number, because the mean of its divisors is an integer number (506914200).

Almost surely, 213957553385 is an apocalyptic number.

13957553385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13957553385 is a deficient number, since it is larger than the sum of its proper divisors (10374328215).

13957553385 is a wasteful number, since it uses less digits than its factorization.

13957553385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2875 counting only the distinct ones).

The product of its digits is 8505000, while the sum is 54.

The spelling of 13957553385 in words is "thirteen billion, nine hundred fifty-seven million, five hundred fifty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 331 449 993 1347 1655 2087 2245 2979 4041 4965 6261 6735 10435 14895 18783 20205 31305 93915 148619 445857 690797 743095 937063 1337571 2072391 2229285 2811189 3453985 4685315 6217173 6687855 8433567 10361955 14055945 31085865 42167835 310167853 930503559 1550839265 2791510677 4652517795 13957553385