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96167591881 = 2329721392
BaseRepresentation
bin101100110010000001…
…0001111111111001001
3100012020002021211122021
41121210002033333021
53033422400420011
6112102341124441
76643060020664
oct1314402177711
9305202254567
1096167591881
113786a10a169
121677a3b9721
1390b783922a
1449240946db
15277ca6b471
hex166408ffc9

96167591881 has 27 divisors (see below), whose sum is σ = 102313697031. Its totient is φ = 90383128704.

The previous prime is 96167591867. The next prime is 96167591899. The reversal of 96167591881 is 18819576169.

The square root of 96167591881 is 310109.

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

It can be written as a sum of positive squares in only one way, i.e., 43182918025 + 52984673856 = 207805^2 + 230184^2 .

It is a de Polignac number, because none of the positive numbers 2k-96167591881 is a prime.

It is a super-2 number, since 2×961675918812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96167591801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 691853110 + ... + 691853248.

Almost surely, 296167591881 is an apocalyptic number.

96167591881 is the 310109-th square number.

96167591881 is the 155055-th centered octagonal number.

It is an amenable number.

96167591881 is a deficient number, since it is larger than the sum of its proper divisors (6146105150).

96167591881 is an frugal number, since it uses more digits than its factorization.

96167591881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 61.

The spelling of 96167591881 in words is "ninety-six billion, one hundred sixty-seven million, five hundred ninety-one thousand, eight hundred eighty-one".

Divisors: 1 23 97 139 529 2231 3197 9409 13483 19321 51313 73531 216407 310109 444383 1307851 1874137 4977361 7132507 10220809 30080573 43105151 181791289 691853179 991418473 4181199647 96167591881