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89974201849 = 727325872
BaseRepresentation
bin101001111001011100…
…0010101110111111001
322121020110100000201021
41103302320111313321
52433231343424344
6105200015222441
76333434045200
oct1236270256771
9277213300637
1089974201849
1135181100604
1215530217a21
13863b68b9bc
1444d7704237
152518e82b84
hex14f2e15df9

89974201849 has 27 divisors (see below), whose sum is σ = 106298346447. Its totient is φ = 75934714464.

The previous prime is 89974201841. The next prime is 89974201861. The reversal of 89974201849 is 94810247998.

The square root of 89974201849 is 299957.

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

It can be written as a sum of positive squares in only one way, i.e., 51073740025 + 38900461824 = 225995^2 + 197232^2 .

It is not a de Polignac number, because 89974201849 - 23 = 89974201841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89974201841) 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, 153277734 + ... + 153278320.

Almost surely, 289974201849 is an apocalyptic number.

89974201849 is the 299957-th square number.

89974201849 is the 149979-th centered octagonal number.

It is an amenable number.

89974201849 is a deficient number, since it is larger than the sum of its proper divisors (16324144598).

89974201849 is an frugal number, since it uses more digits than its factorization.

89974201849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 89974201849 in words is "eighty-nine billion, nine hundred seventy-four million, two hundred one thousand, eight hundred forty-nine".

Divisors: 1 7 49 73 511 587 3577 4109 5329 28763 37303 42851 261121 299957 344569 2099699 2411983 3128123 16883881 21896861 25153537 153278027 176074759 1232523313 1836208201 12853457407 89974201849