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13444532046 = 2321167901677
BaseRepresentation
bin11001000010101101…
…10100011101001110
31021200222020222210100
430201112310131032
5210013300011141
610102030551530
7654111431301
oct144126643516
937628228710
1013444532046
11577a0a6a10
1227326685a6
13136350590a
14917802b38
1553a4b00b6
hex3215b474e

13444532046 has 24 divisors (see below), whose sum is σ = 31777985304. Its totient is φ = 4074100560.

The previous prime is 13444531999. The next prime is 13444532051. The reversal of 13444532046 is 64023544431.

13444532046 is a `hidden beast` number, since 1 + 3 + 4 + 445 + 3 + 204 + 6 = 666.

13444532046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134445320462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13444532046.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33950641 + ... + 33951036.

It is an arithmetic number, because the mean of its divisors is an integer number (1324082721).

Almost surely, 213444532046 is an apocalyptic number.

13444532046 is an abundant number, since it is smaller than the sum of its proper divisors (18333453258).

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

13444532046 is a wasteful number, since it uses less digits than its factorization.

13444532046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67901696 (or 67901693 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 13444 and 532046, that added together give a triangular number (545490 = T1044).

The spelling of 13444532046 in words is "thirteen billion, four hundred forty-four million, five hundred thirty-two thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 67901677 135803354 203705031 407410062 611115093 746918447 1222230186 1493836894 2240755341 4481510682 6722266023 13444532046