Search a number
-
+
13325314656 = 253138805361
BaseRepresentation
bin11000110100100000…
…00010101001100000
31021101122221010021110
430122100002221200
5204242240032111
610042131423320
7651133206603
oct143220025140
937348833243
1013325314656
11571887a145
1226ba754b40
1313448c3c94
14905a4c33a
1552ecb15a6
hex31a402a60

13325314656 has 24 divisors (see below), whose sum is σ = 34978951224. Its totient is φ = 4441771520.

The previous prime is 13325314649. The next prime is 13325314679. The reversal of 13325314656 is 65641352331.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×133253146563 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69402585 + ... + 69402776.

It is an arithmetic number, because the mean of its divisors is an integer number (1457456301).

Almost surely, 213325314656 is an apocalyptic number.

13325314656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13325314656 is an abundant number, since it is smaller than the sum of its proper divisors (21653636568).

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

13325314656 is a wasteful number, since it uses less digits than its factorization.

13325314656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138805374 (or 138805366 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

Adding to 13325314656 its reverse (65641352331), we get a palindrome (78966666987).

The spelling of 13325314656 in words is "thirteen billion, three hundred twenty-five million, three hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 138805361 277610722 416416083 555221444 832832166 1110442888 1665664332 2220885776 3331328664 4441771552 6662657328 13325314656