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85316097427 = 11374346310529
BaseRepresentation
bin100111101110100111…
…1000101010110010011
322011012211021210201021
41033131033011112103
52344211410104202
6103105500020311
76110132601631
oct1173517052623
9264184253637
1085316097427
1133200792830
1214650231697
1380786094b2
1441b4c00351
152345063a37
hex13dd3c5593

85316097427 has 32 divisors (see below), whose sum is σ = 98031098880. Its totient is φ = 73542712320.

The previous prime is 85316097421. The next prime is 85316097431. The reversal of 85316097427 is 72479061358.

It is not a de Polignac number, because 85316097427 - 219 = 85315573139 is a prime.

It is a pancake number, because a pancake can be divided into 85316097427 parts by 413076 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (85316097421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8097699 + ... + 8108227.

It is an arithmetic number, because the mean of its divisors is an integer number (3063471840).

It is a 2-persistent number, because it is pandigital, and so is 2⋅85316097427 = 170632194854, but 3⋅85316097427 = 255948292281 is not.

Almost surely, 285316097427 is an apocalyptic number.

85316097427 is a deficient number, since it is larger than the sum of its proper divisors (12715001453).

85316097427 is a wasteful number, since it uses less digits than its factorization.

85316097427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 85316097427 in words is "eighty-five billion, three hundred sixteen million, ninety-seven thousand, four hundred twenty-seven".

Divisors: 1 11 37 43 407 463 473 1591 5093 10529 17131 17501 19909 115819 188441 218999 389573 452747 736633 4285303 4874927 4980217 8102963 16751639 53624197 180372299 184268029 209621861 1984095289 2305840471 7756008857 85316097427