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81341321616 = 2432237672
BaseRepresentation
bin100101111000001010…
…0100001000110010000
321202221211001021100100
41023300110201012100
52313041334242431
6101211230452400
75606466553152
oct1136024410620
9252854037310
1081341321616
1131551067945
1213921064100
137893caa049
143d18d74ad2
1521b11224e6
hex12f0521190

81341321616 has 45 divisors (see below), whose sum is σ = 227652304971. Its totient is φ = 27112633056.

The previous prime is 81341321603. The next prime is 81341321617. The reversal of 81341321616 is 61612314318.

The square root of 81341321616 is 285204.

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

81341321616 is a `hidden beast` number, since 8 + 1 + 3 + 4 + 1 + 32 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81341321617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3410565 + ... + 3434331.

Almost surely, 281341321616 is an apocalyptic number.

81341321616 is the 285204-th square number.

It is an amenable number.

81341321616 is an abundant number, since it is smaller than the sum of its proper divisors (146310983355).

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

81341321616 is an frugal number, since it uses more digits than its factorization.

81341321616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47548 (or 23772 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Multiplying 81341321616 by its sum of digits (36), we get a square (2928287578176 = 17112242).

81341321616 divided by its sum of digits (36) gives a square (2259481156 = 475342).

The spelling of 81341321616 in words is "eighty-one billion, three hundred forty-one million, three hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23767 47534 71301 95068 142602 190136 213903 285204 380272 427806 570408 855612 1140816 1711224 3422448 564870289 1129740578 1694610867 2259481156 3389221734 4518962312 5083832601 6778443468 9037924624 10167665202 13556886936 20335330404 27113773872 40670660808 81341321616