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13331422584 = 2334191107713
BaseRepresentation
bin11000110101001110…
…10101110101111000
31021102002102102210000
430122213111311320
5204300321010314
610042510353000
7651236136144
oct143247256570
937362372700
1013331422584
115721271117
1227007bb760
131345c5213c
1490679c224
155305bb209
hex31a9d5d78

13331422584 has 80 divisors (see below), whose sum is σ = 37536174720. Its totient is φ = 4420500480.

The previous prime is 13331422579. The next prime is 13331422589. The reversal of 13331422584 is 48522413331.

13331422584 is a `hidden beast` number, since 1 + 3 + 3 + 31 + 42 + 2 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (13331422579) and next prime (13331422589).

It is a super-2 number, since 2×133314225842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331422589) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 69912 + ... + 177624.

It is an arithmetic number, because the mean of its divisors is an integer number (469202184).

Almost surely, 213331422584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331422584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768087360).

13331422584 is an abundant number, since it is smaller than the sum of its proper divisors (24204752136).

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

13331422584 is a wasteful number, since it uses less digits than its factorization.

13331422584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107922 (or 107909 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 13331422584 in words is "thirteen billion, three hundred thirty-one million, four hundred twenty-two thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 13752 15471 20628 30942 41256 61884 107713 123768 215426 323139 430852 646278 861704 969417 1292556 1938834 2585112 2908251 3877668 5816502 7755336 8724753 11633004 17449506 20573183 23266008 34899012 41146366 61719549 69798024 82292732 123439098 164585464 185158647 246878196 370317294 493756392 555475941 740634588 1110951882 1481269176 1666427823 2221903764 3332855646 4443807528 6665711292 13331422584