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85914058321 = 7213232212
BaseRepresentation
bin101000000000011100…
…0000111111001010001
322012202111110100212001
41100000320013321101
52401422444331241
6103245100234001
76131013306100
oct1200070077121
9265674410761
1085914058321
1133488278693
121479853b901
13814246cc00
1442303b6037
15237c7cc431
hex1400e07e51

85914058321 has 27 divisors (see below), whose sum is σ = 108253575153. Its totient is φ = 67954854240.

The previous prime is 85914058319. The next prime is 85914058327. The reversal of 85914058321 is 12385041958.

The square root of 85914058321 is 293111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 920819025 + 84993239296 = 30345^2 + 291536^2 .

It is not a de Polignac number, because 85914058321 - 21 = 85914058319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85914058327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26671491 + ... + 26674711.

Almost surely, 285914058321 is an apocalyptic number.

85914058321 is the 293111-st square number.

85914058321 is the 146556-th centered octagonal number.

It is an amenable number.

85914058321 is a deficient number, since it is larger than the sum of its proper divisors (22339516832).

85914058321 is an frugal number, since it uses more digits than its factorization.

85914058321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 85914058321 in words is "eighty-five billion, nine hundred fourteen million, fifty-eight thousand, three hundred twenty-one".

Divisors: 1 7 13 49 91 169 637 1183 3221 8281 22547 41873 157829 293111 544349 2051777 3810443 10374841 26673101 72623887 134872933 508367209 944110531 1753348129 6608773717 12273436903 85914058321