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89661529872 = 24321934794441
BaseRepresentation
bin101001110000000111…
…1100101111100010000
322120102122222122101200
41103200033211330100
52432111322423442
6105105005431200
76322616300115
oct1234017457420
9276378878350
1089661529872
1135030661512
121546356b500
1385bb9750b5
1444a7d9290c
1524eb7be34c
hex14e03e5f10

89661529872 has 120 divisors (see below), whose sum is σ = 264898476960. Its totient is φ = 28232271360.

The previous prime is 89661529871. The next prime is 89661529883. The reversal of 89661529872 is 27892516698.

89661529872 is a `hidden beast` number, since 8 + 9 + 6 + 615 + 2 + 9 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (89661529871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 902172 + ... + 996612.

It is an arithmetic number, because the mean of its divisors is an integer number (2207487308).

Almost surely, 289661529872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89661529872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132449238480).

89661529872 is an abundant number, since it is smaller than the sum of its proper divisors (175236947088).

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

89661529872 is a wasteful number, since it uses less digits than its factorization.

89661529872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94821 (or 94812 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 89661529872 in words is "eighty-nine billion, six hundred sixty-one million, five hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 347 456 684 694 912 1041 1368 1388 2082 2736 2776 3123 4164 5552 6246 6593 8328 12492 13186 16656 19779 24984 26372 39558 49968 52744 59337 79116 94441 105488 118674 158232 188882 237348 283323 316464 377764 474696 566646 755528 849969 949392 1133292 1511056 1699938 1794379 2266584 3399876 3588758 4533168 5383137 6799752 7177516 10766274 13599504 14355032 16149411 21532548 28710064 32298822 32771027 43065096 64597644 65542054 86130192 98313081 129195288 131084108 196626162 258390576 262168216 294939243 393252324 524336432 589878486 622649513 786504648 1179756972 1245299026 1573009296 1867948539 2359513944 2490598052 3735897078 4719027888 4981196104 5603845617 7471794156 9962392208 11207691234 14943588312 22415382468 29887176624 44830764936 89661529872