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85415516407 = 13389123113721
BaseRepresentation
bin100111110001100101…
…0010101100011110111
322011110202100210220201
41033203022111203313
52344412333011112
6103123410541331
76112450624114
oct1174312254367
9264422323821
1085415516407
1133251917781
1214679597847
1380930a86b0
1441c40bd90b
15234db51257
hex13e32958f7

85415516407 has 16 divisors (see below), whose sum is σ = 92304051840. Its totient is φ = 78572793600.

The previous prime is 85415516393. The next prime is 85415516429. The reversal of 85415516407 is 70461551458.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85415516407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85415516707) 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, 6218307 + ... + 6232027.

It is an arithmetic number, because the mean of its divisors is an integer number (5769003240).

Almost surely, 285415516407 is an apocalyptic number.

85415516407 is a deficient number, since it is larger than the sum of its proper divisors (6888535433).

85415516407 is a wasteful number, since it uses less digits than its factorization.

85415516407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354.

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 85415516407 in words is "eighty-five billion, four hundred fifteen million, five hundred sixteen thousand, four hundred seven".

Divisors: 1 13 389 1231 5057 13721 16003 178373 478859 5337469 6225167 16890551 69387097 219577163 6570424339 85415516407