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2937314809 = 1121323792
BaseRepresentation
bin1010111100010011…
…1101110111111001
321120201002001102101
42233010331313321
522003423033214
61203244503401
7132534523012
oct25704756771
97521061371
102937314809
111278046100
1269b84ab61
1337a707300
141dc16a009
15122d10774
hexaf13ddf9

2937314809 has 27 divisors (see below), whose sum is σ = 3505327119. Its totient is φ = 2458375920.

The previous prime is 2937314803. The next prime is 2937314813. The reversal of 2937314809 is 9084137392.

The square root of 2937314809 is 54197.

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., 434514025 + 2502800784 = 20845^2 + 50028^2 .

It is not a de Polignac number, because 2937314809 - 29 = 2937314297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2937314803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7749982 + ... + 7750360.

Almost surely, 22937314809 is an apocalyptic number.

2937314809 is the 54197-th square number.

2937314809 is the 27099-th centered octagonal number.

It is an amenable number.

2937314809 is a deficient number, since it is larger than the sum of its proper divisors (568012310).

2937314809 is an equidigital number, since it uses as much as digits as its factorization.

2937314809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The cubic root of 2937314809 is about 1432.1334820448.

The spelling of 2937314809 in words is "two billion, nine hundred thirty-seven million, three hundred fourteen thousand, eight hundred nine".

Divisors: 1 11 13 121 143 169 379 1573 1859 4169 4927 20449 45859 54197 64051 143641 596167 704561 1580051 1867333 7750171 17380561 20540663 24275329 225947293 267028619 2937314809