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8802380041 = 7213210312
BaseRepresentation
bin10000011001010100…
…11010100100001001
3211201110020020101121
420030222122210021
5121011402130131
64013241315241
7431062665400
oct101452324411
924643206347
108802380041
113807794454
121857a95b21
13aa384a400
145d7092637
15367b92911
hex20ca9a909

8802380041 has 27 divisors (see below), whose sum is σ = 11098510983. Its totient is φ = 6957765360.

The previous prime is 8802380029. The next prime is 8802380087. The reversal of 8802380041 is 1400832088.

The square root of 8802380041 is 93821.

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., 1302127225 + 7500252816 = 36085^2 + 86604^2 .

It is not a de Polignac number, because 8802380041 - 211 = 8802377993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8802379979 and 8802380006.

It is not an unprimeable number, because it can be changed into a prime (8802380441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8537196 + ... + 8538226.

Almost surely, 28802380041 is an apocalyptic number.

8802380041 is the 93821-st square number.

8802380041 is the 46911-st centered octagonal number.

It is an amenable number.

8802380041 is a deficient number, since it is larger than the sum of its proper divisors (2296130942).

8802380041 is an equidigital number, since it uses as much as digits as its factorization.

8802380041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The cubic root of 8802380041 is about 2064.7463405746.

The spelling of 8802380041 in words is "eight billion, eight hundred two million, three hundred eighty thousand, forty-one".

Divisors: 1 7 13 49 91 169 637 1031 1183 7217 8281 13403 50519 93821 174239 656747 1062961 1219673 7440727 8537711 13818493 52085089 96729451 179640409 677106157 1257482863 8802380041