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3001177089 = 3620292
BaseRepresentation
bin1011001011100010…
…0101010000000001
321202011020121000000
42302320211100001
522121300131324
61213445350213
7134241404301
oct26270452001
97664217000
103001177089
1113000a4849
126b9108369
1338aa07241
14206831601
151287279c9
hexb2e25401

3001177089 has 21 divisors (see below), whose sum is σ = 4501926003. Its totient is φ = 1999798632.

The previous prime is 3001177087. The next prime is 3001177111. The reversal of 3001177089 is 9807711003.

The square root of 3001177089 is 54783.

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., 2977557489 + 23619600 = 54567^2 + 4860^2 .

It is not a de Polignac number, because 3001177089 - 21 = 3001177087 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3001177087) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1478127 + ... + 1480155.

Almost surely, 23001177089 is an apocalyptic number.

3001177089 is the 54783-rd square number.

3001177089 is the 27392-nd centered octagonal number.

It is an amenable number.

3001177089 is a deficient number, since it is larger than the sum of its proper divisors (1500748914).

3001177089 is an frugal number, since it uses more digits than its factorization.

3001177089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The cubic root of 3001177089 is about 1442.4381740986.

Multiplying 3001177089 by its sum of digits (36), we get a square (108042375204 = 3286982).

The spelling of 3001177089 in words is "three billion, one million, one hundred seventy-seven thousand, eighty-nine".

Divisors: 1 3 9 27 81 243 729 2029 6087 18261 54783 164349 493047 1479141 4116841 12350523 37051569 111154707 333464121 1000392363 3001177089