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14585531292 = 2232405153647
BaseRepresentation
bin11011001010101110…
…11000101110011100
31101122111020202111200
431211113120232130
5214332344000132
610411150315500
71024304653563
oct154527305634
941574222450
1014585531292
1162051745a2
1229b07b8b90
1314b5a0cbb7
149c5174bda
155a5743d7c
hex3655d8b9c

14585531292 has 18 divisors (see below), whose sum is σ = 36868981968. Its totient is φ = 4861843752.

The previous prime is 14585531287. The next prime is 14585531309. The reversal of 14585531292 is 29213558541.

14585531292 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 553 + 1 + 2 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×145855312922 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202576788 + ... + 202576859.

It is an arithmetic number, because the mean of its divisors is an integer number (2048276776).

Almost surely, 214585531292 is an apocalyptic number.

14585531292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14585531292 is an abundant number, since it is smaller than the sum of its proper divisors (22283450676).

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

14585531292 is a wasteful number, since it uses less digits than its factorization.

14585531292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405153657 (or 405153652 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

It can be divided in two parts, 145855 and 31292, that added together give a 11-th power (177147 = 311).

The spelling of 14585531292 in words is "fourteen billion, five hundred eighty-five million, five hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 405153647 810307294 1215460941 1620614588 2430921882 3646382823 4861843764 7292765646 14585531292