Search a number
-
+
13541502432 = 253141057317
BaseRepresentation
bin11001001110010001…
…01110110111100000
31021221201201121011010
430213020232313200
5210213111034212
610115413220520
7656366604633
oct144710566740
937851647133
1013541502432
115819909227
12275b031740
13137a628443
14926645c1a
15543c6703c
hex32722ede0

13541502432 has 24 divisors (see below), whose sum is σ = 35546444136. Its totient is φ = 4513834112.

The previous prime is 13541502419. The next prime is 13541502437. The reversal of 13541502432 is 23420514531.

13541502432 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13541502432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13541502437) 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 3 ways as a sum of consecutive naturals, for example, 70528563 + ... + 70528754.

It is an arithmetic number, because the mean of its divisors is an integer number (1481101839).

Almost surely, 213541502432 is an apocalyptic number.

13541502432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13541502432 is an abundant number, since it is smaller than the sum of its proper divisors (22004941704).

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

13541502432 is a wasteful number, since it uses less digits than its factorization.

13541502432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141057330 (or 141057322 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13541502432 in words is "thirteen billion, five hundred forty-one million, five hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 141057317 282114634 423171951 564229268 846343902 1128458536 1692687804 2256917072 3385375608 4513834144 6770751216 13541502432