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95116111281 = 3222324612
BaseRepresentation
bin101100010010101011…
…1001010110110110001
3100002111210202002102100
41120211113022312301
53024244211030111
6111410140211013
76605031414612
oct1304527126661
9302453662370
1095116111281
113737a624234
1216526239a69
138c7aa45a69
144864585c09
15271a5bb756
hex16255cadb1

95116111281 has 27 divisors (see below), whose sum is σ = 138308817387. Its totient is φ = 62989454160.

The previous prime is 95116111267. The next prime is 95116111309. The reversal of 95116111281 is 18211161159.

The square root of 95116111281 is 308409.

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

95116111281 is a `hidden beast` number, since 9 + 5 + 11 + 611 + 1 + 28 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30488302881 + 64627808400 = 174609^2 + 254220^2 .

It is not a de Polignac number, because 95116111281 - 29 = 95116110769 is a prime.

It is a super-2 number, since 2×951161112812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95116111481) 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, 206325391 + ... + 206325851.

Almost surely, 295116111281 is an apocalyptic number.

95116111281 is the 308409-th square number.

95116111281 is the 154205-th centered octagonal number.

It is an amenable number.

95116111281 is a deficient number, since it is larger than the sum of its proper divisors (43192706106).

95116111281 is an frugal number, since it uses more digits than its factorization.

95116111281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its digits is 4320, while the sum is 36.

Multiplying 95116111281 by its sum of digits (36), we get a square (3424180006116 = 18504542).

The spelling of 95116111281 in words is "ninety-five billion, one hundred sixteen million, one hundred eleven thousand, two hundred eighty-one".

Divisors: 1 3 9 223 461 669 1383 2007 4149 49729 102803 149187 212521 308409 447561 637563 925227 1912689 22925069 47392183 68775207 142176549 206325621 426529647 10568456809 31705370427 95116111281