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882323941041 = 341043692
BaseRepresentation
bin11001101011011101001…
…10101110011010110001
310010100102200011020210000
430311232212232122301
5103423444412103131
61513200052100213
7120513544516644
oct14655646563261
93110380136700
10882323941041
11310211954104
12123000604669
13652836b981a
14309c1a01a5b
1517e40810ce6
hexcd6e9ae6b1

882323941041 has 15 divisors (see below), whose sum is σ = 1318052096251. Its totient is φ = 588210324768.

The previous prime is 882323941039. The next prime is 882323941061. The reversal of 882323941041 is 140149323288.

The square root of 882323941041 is 939321.

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., 679175422641 + 203148518400 = 824121^2 + 450720^2 .

It is not a de Polignac number, because 882323941041 - 21 = 882323941039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (882323941061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8401705 + ... + 8506073.

Almost surely, 2882323941041 is an apocalyptic number.

882323941041 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

882323941041 is the 939321-st square number.

882323941041 is the 469661-st centered octagonal number.

It is an amenable number.

882323941041 is a deficient number, since it is larger than the sum of its proper divisors (435728155210).

882323941041 is an frugal number, since it uses more digits than its factorization.

882323941041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208750 (or 104372 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 882323941041 in words is "eight hundred eighty-two billion, three hundred twenty-three million, nine hundred forty-one thousand, forty-one".

Divisors: 1 3 9 27 81 104369 313107 939321 2817963 8453889 10892888161 32678664483 98035993449 294107980347 882323941041