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89528973696 = 2732311924917
BaseRepresentation
bin101001101100001010…
…1111011100110000000
322120002102120002111200
41103120111323212000
52431323404124241
6105043512341200
76316416502011
oct1233025734600
9276072502450
1089528973696
1134a72854058
12154270a4800
13859a372ca6
144494529008
1524ded384b6
hex14d857b980

89528973696 has 96 divisors (see below), whose sum is σ = 257721890400. Its totient is φ = 29832225792.

The previous prime is 89528973683. The next prime is 89528973697. The reversal of 89528973696 is 69637982598.

89528973696 is a `hidden beast` number, since 8 + 9 + 528 + 9 + 7 + 3 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89528973697) 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 11 ways as a sum of consecutive naturals, for example, 3580630 + ... + 3605546.

It is an arithmetic number, because the mean of its divisors is an integer number (2684603025).

Almost surely, 289528973696 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 89528973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128860945200).

89528973696 is an abundant number, since it is smaller than the sum of its proper divisors (168192916704).

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

89528973696 is a wasteful number, since it uses less digits than its factorization.

89528973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28056 (or 28041 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 89528973696 in words is "eighty-nine billion, five hundred twenty-eight million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3119 6238 9357 12476 18714 24917 24952 28071 37428 49834 49904 56142 74751 74856 99668 99808 112284 149502 149712 199336 199616 224253 224568 299004 299424 398672 399232 448506 449136 598008 598848 797344 897012 898272 1196016 1197696 1594688 1794024 1796544 2392032 3189376 3588048 3593088 4784064 7176096 9568128 14352192 28704384 77716123 155432246 233148369 310864492 466296738 621728984 699445107 932593476 1243457968 1398890214 1865186952 2486915936 2797780428 3730373904 4973831872 5595560856 7460747808 9947663744 11191121712 14921495616 22382243424 29842991232 44764486848 89528973696