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89487132736 = 266126132
BaseRepresentation
bin101001101010111011…
…0010100100001000000
322112222111211100111111
41103111312110201000
52431232201221421
6105035415453104
76315401035501
oct1232566244100
9275874740444
1089487132736
1134a51176351
1215415087194
1385917b3521
14448cb56ba8
1524db320ee1
hex14d5d94840

89487132736 has 63 divisors (see below), whose sum is σ = 180829824903. Its totient is φ = 43938270720.

The previous prime is 89487132697. The next prime is 89487132737. The reversal of 89487132736 is 63723178498.

The square root of 89487132736 is 299144.

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 84494862400 + 4992270336 = 290680^2 + 70656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89487132737) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145981966 + ... + 145982578.

It is an arithmetic number, because the mean of its divisors is an integer number (2870314681).

Almost surely, 289487132736 is an apocalyptic number.

89487132736 is the 299144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89487132736

89487132736 is an abundant number, since it is smaller than the sum of its proper divisors (91342692167).

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

89487132736 is an frugal number, since it uses more digits than its factorization.

89487132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 676 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The spelling of 89487132736 in words is "eighty-nine billion, four hundred eighty-seven million, one hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 613 976 1226 1952 2452 3721 3904 4904 7442 9808 14884 19616 29768 37393 39232 59536 74786 119072 149572 238144 299144 375769 598288 751538 1196576 1503076 2280973 2393152 3006152 4561946 6012304 9123892 12024608 18247784 22921909 24049216 36495568 45843818 72991136 91687636 145982272 183375272 366750544 733501088 1398236449 1467002176 2796472898 5592945796 11185891592 22371783184 44743566368 89487132736