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8444073341385 = 32511109156502147
BaseRepresentation
bin111101011100000100111…
…1111011111000111001001
31002220020121222201111021100
41322320021333133013021
52101321430233411020
625543053112532013
71531031003066013
oct172701177370711
932806558644240
108444073341385
1127661252a0310
12b446270b1009
13493371174b16
142129a3db51b3
15e99b2c56a90
hex7ae09fdf1c9

8444073341385 has 48 divisors (see below), whose sum is σ = 16113461158080. Its totient is φ = 4056535624320.

The previous prime is 8444073341339. The next prime is 8444073341387. The reversal of 8444073341385 is 5831433704448.

8444073341385 is a `hidden beast` number, since 8 + 44 + 40 + 73 + 3 + 413 + 85 = 666.

It is not a de Polignac number, because 8444073341385 - 29 = 8444073340873 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8444073341387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78197119 + ... + 78305028.

It is an arithmetic number, because the mean of its divisors is an integer number (335697107460).

Almost surely, 28444073341385 is an apocalyptic number.

It is an amenable number.

8444073341385 is a deficient number, since it is larger than the sum of its proper divisors (7669387816695).

8444073341385 is a wasteful number, since it uses less digits than its factorization.

8444073341385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156502278 (or 156502275 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 8444073341385 in words is "eight trillion, four hundred forty-four billion, seventy-three million, three hundred forty-one thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 109 165 327 495 545 981 1199 1635 3597 4905 5995 10791 17985 53955 156502147 469506441 782510735 1408519323 1721523617 2347532205 5164570851 7042596615 8607618085 15493712553 17058734023 25822854255 51176202069 77468562765 85293670115 153528606207 187646074253 255881010345 562938222759 767643031035 938230371265 1688814668277 2814691113795 8444073341385