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89639047484100 = 2232523155932
BaseRepresentation
bin10100011000011010110111…
…100101010101001011000100
3102202101102001100020121210100
4110120122313211111023010
543222121232123442400
6514351335424324100
724611131105642302
oct2430326745251304
9382342040217710
1089639047484100
112661a785468584
12a078793773630
133b02c062ab98a
14181c7a57c1272
15a56ab6018100
hex5186b79552c4

89639047484100 has 81 divisors (see below), whose sum is σ = 280969504682503. Its totient is φ = 23903670253440.

The previous prime is 89639047484087. The next prime is 89639047484101. The reversal of 89639047484100 is 148474093698.

The square root of 89639047484100 is 9467790.

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

89639047484100 is a `hidden beast` number, since 8 + 9 + 6 + 3 + 9 + 0 + 47 + 484 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2993183726724 + 86645863757376 = 1730082^2 + 9308376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89639047484101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 283875904 + ... + 284191496.

Almost surely, 289639047484100 is an apocalyptic number.

89639047484100 is the 9467790-th square number.

It is an amenable number.

89639047484100 is an abundant number, since it is smaller than the sum of its proper divisors (191330457198403).

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

89639047484100 is an frugal number, since it uses more digits than its factorization.

89639047484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631206 (or 315603 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 89639047484100 in words is "eighty-nine trillion, six hundred thirty-nine billion, forty-seven million, four hundred eighty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 315593 631186 946779 1262372 1577965 1893558 2840337 3155930 3787116 4733895 5680674 6311860 7889825 9467790 11361348 14201685 15779650 18935580 23669475 28403370 31559300 47338950 56806740 71008425 94677900 142016850 284033700 99598941649 199197883298 298796824947 398395766596 497994708245 597593649894 896390474841 995989416490 1195187299788 1493984124735 1792780949682 1991978832980 2489973541225 2987968249470 3585561899364 4481952374205 4979947082450 5975936498940 7469920623675 8963904748410 9959894164900 14939841247350 17927809496820 22409761871025 29879682494700 44819523742050 89639047484100