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81991740964 = 227211321812
BaseRepresentation
bin100110001011100010…
…1101010111000100100
321211122010220222221211
41030113011222320210
52320404341202324
6101355543321204
75631555204400
oct1142705527044
9254563828854
1081991740964
11318552225a1
1213a82a50204
137968979b73
143d7b4c4100
1521ed29e294
hex131716ae24

81991740964 has 81 divisors (see below), whose sum is σ = 169337462931. Its totient is φ = 34635928320.

The previous prime is 81991740949. The next prime is 81991741033. The reversal of 81991740964 is 46904719918.

The square root of 81991740964 is 286342.

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 77423062500 + 4568678464 = 278250^2 + 67592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 81991740899 and 81991740908.

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 26 ways as a sum of consecutive naturals, for example, 452992954 + ... + 452993134.

Almost surely, 281991740964 is an apocalyptic number.

81991740964 is the 286342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81991740964

81991740964 is an abundant number, since it is smaller than the sum of its proper divisors (87345721967).

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

81991740964 is a wasteful number, since it uses less digits than its factorization.

81991740964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 81991740964 in words is "eighty-one billion, nine hundred ninety-one million, seven hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 113 181 196 226 362 452 724 791 1267 1582 2534 3164 5068 5537 8869 11074 12769 17738 20453 22148 25538 32761 35476 40906 51076 65522 81812 89383 131044 143171 178766 229327 286342 357532 458654 572684 625681 917308 1002197 1251362 1605289 2004394 2311189 2502724 3210578 3701993 4008788 4622378 6421156 7403986 9244756 14807972 16178323 25913951 32356646 51827902 64713292 103655804 113248261 181397657 226496522 362795314 418325209 452993044 725590628 836650418 1673300836 2928276463 5856552926 11713105852 20497935241 40995870482 81991740964