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85407769471 = 2943107640099
BaseRepresentation
bin100111110001010110…
…0110010001101111111
322011110012210020010011
41033202230302031333
52344403342110341
6103122532524051
76112325030233
oct1174254621577
9264405706104
1085407769471
1133248506352
1214676a80627
1380915c54cb
1441c30645c3
15234d120b81
hex13e2b3237f

85407769471 has 16 divisors (see below), whose sum is σ = 91252656000. Its totient is φ = 79792056288.

The previous prime is 85407769457. The next prime is 85407769507. The reversal of 85407769471 is 17496770458.

It is a happy number.

It is not a de Polignac number, because 85407769471 - 217 = 85407638399 is a prime.

It is a super-3 number, since 3×854077694713 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85407769411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186621 + ... + 453478.

It is an arithmetic number, because the mean of its divisors is an integer number (5703291000).

Almost surely, 285407769471 is an apocalyptic number.

85407769471 is a deficient number, since it is larger than the sum of its proper divisors (5844886529).

85407769471 is a wasteful number, since it uses less digits than its factorization.

85407769471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640278.

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 85407769471 in words is "eighty-five billion, four hundred seven million, seven hundred sixty-nine thousand, four hundred seventy-one".

Divisors: 1 29 43 107 1247 3103 4601 133429 640099 18562871 27524257 68490593 798203453 1986227197 2945095499 85407769471