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85391407449 = 32371273076577
BaseRepresentation
bin100111110000110111…
…0010111100101011001
322011102001222221122100
41033201232113211121
52344340200014244
6103121150114013
76112035662445
oct1174156274531
9264361887570
1085391407449
113323a250317
12146714ab909
13808b0b6c3a
1441c0c05825
15234b98cb69
hex13e1b97959

85391407449 has 48 divisors (see below), whose sum is σ = 128109549568. Its totient is φ = 54765559296.

The previous prime is 85391407441. The next prime is 85391407463. The reversal of 85391407449 is 94470419358.

85391407449 is a `hidden beast` number, since 8 + 53 + 9 + 140 + 7 + 449 = 666.

It is not a de Polignac number, because 85391407449 - 23 = 85391407441 is a prime.

It is a super-2 number, since 2×853914074492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85391407395 and 85391407404.

It is not an unprimeable number, because it can be changed into a prime (85391407441) 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, 12980049 + ... + 12986625.

Almost surely, 285391407449 is an apocalyptic number.

It is an amenable number.

85391407449 is a deficient number, since it is larger than the sum of its proper divisors (42718142119).

85391407449 is a wasteful number, since it uses less digits than its factorization.

85391407449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 85391407449 in words is "eighty-five billion, three hundred ninety-one million, four hundred seven thousand, four hundred forty-nine".

Divisors: 1 3 9 37 111 127 307 333 381 921 1143 2763 4699 6577 11359 14097 19731 34077 38989 42291 59193 102231 116967 243349 350901 730047 835279 1442593 2019139 2190141 2505837 4327779 6057417 7517511 12983337 18172251 30905323 74708143 92715969 224124429 256430653 278147907 672373287 769291959 2307875877 9487934161 28463802483 85391407449