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2792138409 = 32310237601
BaseRepresentation
bin1010011001101100…
…1010011010101001
321012120220022211200
42212123022122221
521204241412114
61141021114413
7126122533134
oct24633123251
97176808750
102792138409
1112030a8a05
1265b0b8a09
13356606b08
141c6b7921b
151151d5409
hexa66ca6a9

2792138409 has 6 divisors (see below), whose sum is σ = 4033088826. Its totient is φ = 1861425600.

The previous prime is 2792138389. The next prime is 2792138443. The reversal of 2792138409 is 9048312972.

2792138409 is a `hidden beast` number, since 27 + 9 + 213 + 8 + 409 = 666.

2792138409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2062976400 + 729162009 = 45420^2 + 27003^2 .

It is not a de Polignac number, because 2792138409 - 27 = 2792138281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2792138449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155118792 + ... + 155118809.

It is an arithmetic number, because the mean of its divisors is an integer number (672181471).

Almost surely, 22792138409 is an apocalyptic number.

It is an amenable number.

2792138409 is a deficient number, since it is larger than the sum of its proper divisors (1240950417).

2792138409 is a wasteful number, since it uses less digits than its factorization.

2792138409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310237607 (or 310237604 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2792138409 is about 52840.6889527379. The cubic root of 2792138409 is about 1408.1393913374.

The spelling of 2792138409 in words is "two billion, seven hundred ninety-two million, one hundred thirty-eight thousand, four hundred nine".

Divisors: 1 3 9 310237601 930712803 2792138409