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13331622465 = 335714107537
BaseRepresentation
bin11000110101010000…
…00110101001000001
31021102002210120222000
430122220012221001
5204300343404330
610042514534213
7651240630660
oct143250065101
937362716860
1013331622465
115721398307
122700897369
131345cc2105
14906810dd7
1553060a560
hex31aa06a41

13331622465 has 32 divisors (see below), whose sum is σ = 27086472960. Its totient is φ = 6094455552.

The previous prime is 13331622439. The next prime is 13331622511. The reversal of 13331622465 is 56422613331.

13331622465 is a `hidden beast` number, since 1 + 3 + 33 + 162 + 2 + 465 = 666.

It is not a de Polignac number, because 13331622465 - 28 = 13331622209 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7052824 + ... + 7054713.

It is an arithmetic number, because the mean of its divisors is an integer number (846452280).

Almost surely, 213331622465 is an apocalyptic number.

13331622465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13331622465 is an abundant number, since it is smaller than the sum of its proper divisors (13754850495).

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

13331622465 is a wasteful number, since it uses less digits than its factorization.

13331622465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107558 (or 14107552 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 13331622465 in words is "thirteen billion, three hundred thirty-one million, six hundred twenty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 14107537 42322611 70537685 98752759 126967833 211613055 296258277 380903499 493763795 634839165 888774831 1481291385 1904517495 2666324493 4443874155 13331622465