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90326094849 = 32172712832
BaseRepresentation
bin101010000011111011…
…0101101010000000001
322122010222111001011100
41110013312231100001
52434441440013344
6105254545405013
76345236065254
oct1240766552001
9278128431140
1090326094849
11353417a8a71
121560a039769
138696558703
14452c34509b
152539ce2569
hex1507dad401

90326094849 has 81 divisors (see below), whose sum is σ = 142290919459. Its totient is φ = 55203738240.

The previous prime is 90326094847. The next prime is 90326094869. The reversal of 90326094849 is 94849062309.

The square root of 90326094849 is 300543.

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., 70323084225 + 20003010624 = 265185^2 + 141432^2 .

It is not a de Polignac number, because 90326094849 - 21 = 90326094847 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90326094795 and 90326094804.

It is not an unprimeable number, because it can be changed into a prime (90326094841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1088266162 + ... + 1088266244.

Almost surely, 290326094849 is an apocalyptic number.

90326094849 is the 300543-rd square number.

90326094849 is the 150272-nd centered octagonal number.

It is an amenable number.

90326094849 is a deficient number, since it is larger than the sum of its proper divisors (51964824610).

90326094849 is an equidigital number, since it uses as much as digits as its factorization.

90326094849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

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

The spelling of 90326094849 in words is "ninety billion, three hundred twenty-six million, ninety-four thousand, eight hundred forty-nine".

Divisors: 1 3 9 17 51 71 83 153 213 249 289 639 747 867 1207 1411 2601 3621 4233 5041 5893 6889 10863 12699 15123 17679 20519 20667 23987 45369 53037 61557 62001 71961 85697 100181 117113 184671 215883 257091 300543 351339 418403 489119 771273 901629 1054017 1255209 1456849 1467357 1703077 1990921 3765627 4370547 4402071 5109231 5972763 7112851 8315023 13111641 15327693 17918289 21338553 24945069 34727449 64015659 74835207 104182347 120918467 141355391 312547041 362755401 424066173 590366633 1088266203 1272198519 1771099899 5313299697 10036232761 30108698283 90326094849