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95297542106116 = 2272172410172
BaseRepresentation
bin10101101010110000110000…
…001001010010110000000100
3110111102100121120011111001211
4111222300300021102300010
544442323331234343431
6534403030402101204
726034006634433200
oct2552606011226004
9414370546144054
1095297542106116
1128401508131959
12a83137604a804
13412369a9044cc
1419765d5d9bb00
15b03d93a9c2b1
hex56ac30252c04

95297542106116 has 81 divisors (see below), whose sum is σ = 206086548060351. Its totient is φ = 38438407558656.

The previous prime is 95297542106089. The next prime is 95297542106119. The reversal of 95297542106116 is 61160124579259.

The square root of 95297542106116 is 9762046.

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 27900009946116 + 67397532160000 = 5282046^2 + 8209600^2 .

It is not an unprimeable number, because it can be changed into a prime (95297542106119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2323346440 + ... + 2323387456.

Almost surely, 295297542106116 is an apocalyptic number.

95297542106116 is the 9762046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95297542106116

95297542106116 is an abundant number, since it is smaller than the sum of its proper divisors (110789005954235).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95297542106116 is an frugal number, since it uses more digits than its factorization.

95297542106116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82086 (or 41043 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 95297542106116 in words is "ninety-five trillion, two hundred ninety-seven billion, five hundred forty-two million, one hundred six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 2023 3332 4046 8092 14161 28322 41017 56644 82034 164068 287119 574238 697289 1148476 1394578 2009833 2789156 4019666 4881023 8039332 9762046 11853913 19524092 23707826 34167161 47415652 68334322 82977391 136668644 165954782 331909564 580841737 1161683474 1682394289 2323366948 3364788578 6729577156 11776760023 23553520046 28600702913 47107040092 57201405826 82437320161 114402811652 164874640322 200204920391 329749280644 400409840782 486211949521 800819681564 972423899042 1401434442737 1944847798084 2802868885474 3403483646647 5605737770948 6806967293294 13613934586588 23824385526529 47648771053058 95297542106116