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80227163536 = 241344192
BaseRepresentation
bin100101010110111101…
…0010101110110010000
321200002011120011210021
41022231322111312100
52303301123213121
6100504510313224
75540050431652
oct1125572256620
9250064504707
1080227163536
113102a162443
121366bab8814
137747210000
143c50dcc6d2
1521483e1641
hex12ade95d90

80227163536 has 75 divisors (see below), whose sum is σ = 168795871751. Its totient is φ = 36939549504.

The previous prime is 80227163531. The next prime is 80227163537. The reversal of 80227163536 is 63536172208.

The square root of 80227163536 is 283244.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 39777909136 + 40449254400 = 199444^2 + 201120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80227163492 and 80227163501.

It is not an unprimeable number, because it can be changed into a prime (80227163531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 191472735 + ... + 191473153.

Almost surely, 280227163536 is an apocalyptic number.

80227163536 is the 283244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80227163536

80227163536 is an abundant number, since it is smaller than the sum of its proper divisors (88568708215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80227163536 is an frugal number, since it uses more digits than its factorization.

80227163536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 80227163536 in words is "eighty billion, two hundred twenty-seven million, one hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 419 676 838 1352 1676 2197 2704 3352 4394 5447 6704 8788 10894 17576 21788 28561 35152 43576 57122 70811 87152 114244 141622 175561 228488 283244 351122 456976 566488 702244 920543 1132976 1404488 1841086 2282293 2808976 3682172 4564586 7364344 9129172 11967059 14728688 18258344 23934118 29669809 36516688 47868236 59339618 95736472 118679236 191472944 237358472 385707517 474716944 771415034 1542830068 3085660136 5014197721 6171320272 10028395442 20056790884 40113581768 80227163536