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82336285249 = 172168792
BaseRepresentation
bin100110010101110100…
…0000000001001000001
321212112011020122212021
41030223220000021001
52322111042111444
6101454052201441
75643240606601
oct1145350001101
9255464218767
1082336285249
1131a11760839
1213b5a309281
1379c2172a1a
143db1170c01
15221d65b584
hex132ba00241

82336285249 has 9 divisors (see below), whose sum is σ = 87469678947. Its totient is φ = 77488383264.

The previous prime is 82336285211. The next prime is 82336285253. The reversal of 82336285249 is 94258263328.

The square root of 82336285249 is 286943.

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., 64102644225 + 18233641024 = 253185^2 + 135032^2 .

It is not a de Polignac number, because 82336285249 - 211 = 82336283201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82336285196 and 82336285205.

It is not an unprimeable number, because it can be changed into a prime (82336285349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4869592 + ... + 4886470.

Almost surely, 282336285249 is an apocalyptic number.

82336285249 is the 286943-rd square number.

82336285249 is the 143472-nd centered octagonal number.

It is an amenable number.

82336285249 is a deficient number, since it is larger than the sum of its proper divisors (5133393698).

82336285249 is an frugal number, since it uses more digits than its factorization.

82336285249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33792 (or 16896 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 82336285249 in words is "eighty-two billion, three hundred thirty-six million, two hundred eighty-five thousand, two hundred forty-nine".

Divisors: 1 17 289 16879 286943 4878031 284900641 4843310897 82336285249