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89148822084 = 22327271092
BaseRepresentation
bin101001100000110101…
…1110001001001000100
322112002221020101112100
41103001223301021010
52430034044301314
6104542052352100
76304122325200
oct1230153611104
9275087211470
1089148822084
1134898205573
121533b915630
138539690aca
144459c4db00
1524bb795c09
hex14c1af1244

89148822084 has 81 divisors (see below), whose sum is σ = 262176868317. Its totient is φ = 25467509088.

The previous prime is 89148822041. The next prime is 89148822109. The reversal of 89148822084 is 48022884198.

The square root of 89148822084 is 298578.

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

89148822084 is a `hidden beast` number, since 89 + 1 + 488 + 2 + 2 + 0 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12773972484 + 76374849600 = 113022^2 + 276360^2 .

It is a super-2 number, since 2×891488220842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89148822084.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12536722 + ... + 12543830.

Almost surely, 289148822084 is an apocalyptic number.

89148822084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

89148822084 is the 298578-th square number.

It is an amenable number.

89148822084 is an abundant number, since it is smaller than the sum of its proper divisors (173028046233).

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

89148822084 is an equidigital number, since it uses as much as digits as its factorization.

89148822084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14242 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 89148822084 in words is "eighty-nine billion, one hundred forty-eight million, eight hundred twenty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 7109 14218 21327 28436 42654 49763 63981 85308 99526 127962 149289 199052 255924 298578 348341 447867 597156 696682 895734 1045023 1393364 1791468 2090046 3135069 4180092 6270138 12540276 50537881 101075762 151613643 202151524 303227286 353765167 454840929 606454572 707530334 909681858 1061295501 1415060668 1819363716 2122591002 2476356169 3183886503 4245182004 4952712338 6367773006 7429068507 9905424676 12735546012 14858137014 22287205521 29716274028 44574411042 89148822084