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89657726041 = 1323127432
BaseRepresentation
bin101001110000000000…
…1000101010001011001
322120102101211101112001
41103200001011101121
52432104334213131
6105104352121001
76322542045202
oct1234001052131
9276371741461
1089657726041
11350294a3654
1215462236161
1385bac42900
1444a76825a9
1524eb2bc261
hex14e0045459

89657726041 has 27 divisors (see below), whose sum is σ = 100452991167. Its totient is φ = 79983474480.

The previous prime is 89657726033. The next prime is 89657726051. The reversal of 89657726041 is 14062775698.

The square root of 89657726041 is 299429.

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., 13262977225 + 76394748816 = 115165^2 + 276396^2 .

It is not a de Polignac number, because 89657726041 - 23 = 89657726033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89657726021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120669516 + ... + 120670258.

Almost surely, 289657726041 is an apocalyptic number.

89657726041 is the 299429-th square number.

89657726041 is the 149715-th centered octagonal number.

It is an amenable number.

89657726041 is a deficient number, since it is larger than the sum of its proper divisors (10795265126).

89657726041 is an frugal number, since it uses more digits than its factorization.

89657726041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 89657726041 in words is "eighty-nine billion, six hundred fifty-seven million, seven hundred twenty-six thousand, forty-one".

Divisors: 1 13 31 169 403 743 961 5239 9659 12493 23033 125567 162409 299429 552049 714023 3892577 7176637 9282299 17113519 93296281 120669887 222475747 530519089 2892184711 6896748157 89657726041