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71080358881 = 7454412
BaseRepresentation
bin100001000110010111…
…0000011001111100001
320210110201020100122111
41002030232003033201
52131033032441011
652353122435321
75064303040000
oct1021456031741
9223421210574
1071080358881
1128166011754
1211938802b41
13691a20c36c
1436242c0c37
151cb03b7121
hex108cb833e1

71080358881 has 15 divisors (see below), whose sum is σ = 82937394323. Its totient is φ = 60914824320.

The previous prime is 71080358879. The next prime is 71080358903. The reversal of 71080358881 is 18885308017.

The square root of 71080358881 is 266609.

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., 51714853281 + 19365505600 = 227409^2 + 139160^2 .

It is not a de Polignac number, because 71080358881 - 21 = 71080358879 is a prime.

It is a super-2 number, since 2×710803588812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (71080358821) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13061121 + ... + 13066561.

Almost surely, 271080358881 is an apocalyptic number.

71080358881 is the 266609-th square number.

71080358881 is the 133305-th centered octagonal number.

It is an amenable number.

71080358881 is a deficient number, since it is larger than the sum of its proper divisors (11857035442).

71080358881 is an frugal number, since it uses more digits than its factorization.

71080358881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 49.

Multiplying 71080358881 by its sum of digits (49), we get a square (3482937585169 = 18662632).

71080358881 divided by its sum of digits (49) gives a square (1450619569 = 380872).

The spelling of 71080358881 in words is "seventy-one billion, eighty million, three hundred fifty-eight thousand, eight hundred eighty-one".

Divisors: 1 7 49 343 2401 5441 38087 266609 1866263 13063841 29604481 207231367 1450619569 10154336983 71080358881