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89224142625 = 345315495689
BaseRepresentation
bin101001100011000101…
…1000101111100100001
322112022011222001220000
41103012023011330201
52430212340031000
6104553343010213
76306025461462
oct1230613057441
9275264861800
1089224142625
113492677aa52
1215360b99969
13854c173287
144465c58d69
1524c31c3000
hex14c62c5f21

89224142625 has 80 divisors (see below), whose sum is σ = 166476882000. Its totient is φ = 47547129600.

The previous prime is 89224142587. The next prime is 89224142647. The reversal of 89224142625 is 52624142298.

89224142625 is a `hidden beast` number, since 8 + 9 + 2 + 2 + 4 + 14 + 2 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13621690944 + 75602451681 = 116712^2 + 274959^2 .

It is not a de Polignac number, because 89224142625 - 28 = 89224142369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 15680781 + ... + 15686469.

It is an arithmetic number, because the mean of its divisors is an integer number (2080961025).

Almost surely, 289224142625 is an apocalyptic number.

It is an amenable number.

89224142625 is a deficient number, since it is larger than the sum of its proper divisors (77252739375).

89224142625 is a wasteful number, since it uses less digits than its factorization.

89224142625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265 (or 7246 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 89224142625 in words is "eighty-nine billion, two hundred twenty-four million, one hundred forty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 1549 2025 3375 4647 5689 7745 10125 13941 17067 23235 28445 38725 41823 51201 69705 85335 116175 125469 142225 153603 193625 209115 256005 348525 426675 460809 580875 627345 711125 768015 1045575 1280025 1742625 2133375 2304045 3136725 3840075 5227875 6400125 8812261 11520225 15683625 19200375 26436783 44061305 57601125 79310349 132183915 220306525 237931047 396551745 660919575 713793141 1101532625 1189655235 1982758725 3304597875 3568965705 5948276175 9913793625 17844828525 29741380875 89224142625