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71776680545 = 5374129093253
BaseRepresentation
bin100001011011000111…
…0010011101001100001
320212021020111011101202
41002312032103221201
52133444312234140
652550155210545
75120456501213
oct1026616235141
9225236434352
1071776680545
11284930794a9
1211ab1a46a55
1369cb56140b
14368c97c5b3
151d015ae915
hex10b6393a61

71776680545 has 32 divisors (see below), whose sum is σ = 90676484640. Its totient is φ = 54471260160.

The previous prime is 71776680539. The next prime is 71776680557. The reversal of 71776680545 is 54508667717.

It can be written as a sum of positive squares in 16 ways, for example, as 149793121 + 71626887424 = 12239^2 + 267632^2 .

It is not a de Polignac number, because 71776680545 - 24 = 71776680529 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22063139 + ... + 22066391.

It is an arithmetic number, because the mean of its divisors is an integer number (2833640145).

Almost surely, 271776680545 is an apocalyptic number.

It is an amenable number.

71776680545 is a deficient number, since it is larger than the sum of its proper divisors (18899804095).

71776680545 is a wasteful number, since it uses less digits than its factorization.

71776680545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245.

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 71776680545 in words is "seventy-one billion, seven hundred seventy-six million, six hundred eighty thousand, five hundred forty-five".

Divisors: 1 5 37 41 185 205 1517 2909 3253 7585 14545 16265 107633 119269 120361 133373 538165 596345 601805 666865 4412953 4934801 9462977 22064765 24674005 47314885 350130149 387982057 1750650745 1939910285 14355336109 71776680545