Search a number
-
+
81221050728 = 23332411560263
BaseRepresentation
bin100101110100100100…
…1101110000101101000
321202122102201212201000
41023221021232011220
52312320042110403
6101151252555000
75603506353156
oct1135111560550
9252572655630
1081221050728
113149a190614
12138a8922a60
1378750b9a3c
143d06dc83d6
1521a57b67a3
hex12e926e168

81221050728 has 64 divisors (see below), whose sum is σ = 226550332800. Its totient is φ = 26961327360.

The previous prime is 81221050711. The next prime is 81221050777. The reversal of 81221050728 is 82705012218.

81221050728 is a `hidden beast` number, since 8 + 122 + 1 + 0 + 507 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 81221050692 and 81221050701.

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 15 ways as a sum of consecutive naturals, for example, 728076 + ... + 832187.

It is an arithmetic number, because the mean of its divisors is an integer number (3539848950).

Almost surely, 281221050728 is an apocalyptic number.

It is an amenable number.

81221050728 is an abundant number, since it is smaller than the sum of its proper divisors (145329282072).

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

81221050728 is a wasteful number, since it uses less digits than its factorization.

81221050728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560519 (or 1560509 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 81221050728 in words is "eighty-one billion, two hundred twenty-one million, fifty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 241 482 723 964 1446 1928 2169 2892 4338 5784 6507 8676 13014 17352 26028 52056 1560263 3120526 4680789 6241052 9361578 12482104 14042367 18723156 28084734 37446312 42127101 56169468 84254202 112338936 168508404 337016808 376023383 752046766 1128070149 1504093532 2256140298 3008187064 3384210447 4512280596 6768420894 9024561192 10152631341 13536841788 20305262682 27073683576 40610525364 81221050728