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89606231649 = 321124721932
BaseRepresentation
bin101001101110011110…
…0101001011001100001
322120021210221012111100
41103130330221121201
52432003143403044
6105055312305013
76321345254604
oct1233474513141
9276253835440
1089606231649
1135002422100
1215448b42169
1385b038325c
1444a08ba33b
1524e69e9869
hex14dcf29661

89606231649 has 81 divisors (see below), whose sum is σ = 146115803379. Its totient is φ = 52875947520.

The previous prime is 89606231641. The next prime is 89606231731. The reversal of 89606231649 is 94613260698.

The square root of 89606231649 is 299343.

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

89606231649 is a `hidden beast` number, since 8 + 9 + 6 + 0 + 623 + 1 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21710549025 + 67895682624 = 147345^2 + 260568^2 .

It is not a de Polignac number, because 89606231649 - 23 = 89606231641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89606231595 and 89606231604.

It is not an unprimeable number, because it can be changed into a prime (89606231641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 464280897 + ... + 464281089.

Almost surely, 289606231649 is an apocalyptic number.

89606231649 is the 299343-rd square number.

89606231649 is the 149672-nd centered octagonal number.

It is an amenable number.

89606231649 is a deficient number, since it is larger than the sum of its proper divisors (56509571730).

89606231649 is a wasteful number, since it uses less digits than its factorization.

89606231649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 89606231649 in words is "eighty-nine billion, six hundred six million, two hundred thirty-one thousand, six hundred forty-nine".

Divisors: 1 3 9 11 33 47 99 121 141 193 363 423 517 579 1089 1551 1737 2123 2209 4653 5687 6369 6627 9071 17061 19107 19881 23353 24299 27213 37249 51183 70059 72897 81639 99781 111747 210177 218691 267289 299343 335241 409739 426337 801867 898029 1097591 1229217 1279011 1750703 2405601 3292773 3687651 3837033 4507129 4689707 5252109 9878319 13521387 14069121 15756327 19257733 40564161 42207363 51586777 57773199 82283041 154760331 173319597 211835063 246849123 464280993 635505189 740547369 905113451 1906515567 2715340353 8146021059 9956247961 29868743883 89606231649