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80711555249521 = 7223241213612
BaseRepresentation
bin10010010110100000011111…
…100101000111010101110001
3101120202221122001120220202101
4102112200133211013111301
541034334231120441041
6443354213203020401
723000134403004100
oct2226403745072561
9346687561526671
1080711555249521
112379863a879829
12907653466a701
1336060b42844c1
1415d06627c4037
1594e75d1adb31
hex49681f947571

80711555249521 has 81 divisors (see below), whose sum is σ = 100674789795489. Its totient is φ = 64512027148800.

The previous prime is 80711555249509. The next prime is 80711555249557. The reversal of 80711555249521 is 12594255511708.

The square root of 80711555249521 is 8983961.

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 51447783089521 + 29263772160000 = 7172711^2 + 5409600^2 .

It is not a de Polignac number, because 80711555249521 - 25 = 80711555249489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80711555240521) 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 80 ways as a sum of consecutive naturals, for example, 59303125881 + ... + 59303127241.

Almost surely, 280711555249521 is an apocalyptic number.

80711555249521 is the 8983961-st square number.

80711555249521 is the 4491981-st centered octagonal number.

It is an amenable number.

80711555249521 is a deficient number, since it is larger than the sum of its proper divisors (19963234545968).

80711555249521 is an frugal number, since it uses more digits than its factorization.

80711555249521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 55.

The spelling of 80711555249521 in words is "eighty trillion, seven hundred eleven billion, five hundred fifty-five million, two hundred forty-nine thousand, five hundred twenty-one".

Divisors: 1 7 23 41 49 161 287 529 943 1127 1361 1681 2009 3703 6601 9527 11767 21689 25921 31303 38663 46207 55801 66689 82369 151823 219121 270641 390607 719969 889249 1062761 1283423 1533847 1852321 1894487 2287841 2734249 5039783 6224743 8983961 12966247 16014887 29518729 35278481 42603383 43573201 52620343 62887727 75945161 90763729 112104209 206631103 298223681 368342401 531616127 979877809 1210267889 1446417721 1746738703 2087565767 2578396807 3113751601 3721312889 6859144663 8471875223 12227170921 21796261207 40174990169 48014012641 59303126561 71616286823 85590196447 152573828449 281224931183 501314007761 1647174596929 1968574518281 3509198054327 11530222178503 80711555249521