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2709098401 = 232312732
BaseRepresentation
bin1010000101111001…
…1000111110100001
320222210122110100211
42201132120332201
521022012122101
61124453214121
7124063646032
oct24136307641
96883573324
102709098401
1111702407a9
12637331341
13342350b09
141b9b20a89
1510cc80c51
hexa1798fa1

2709098401 has 27 divisors (see below), whose sum is σ = 2966943987. Its totient is φ = 2473368480.

The previous prime is 2709098387. The next prime is 2709098429. The reversal of 2709098401 is 1048909072.

The square root of 2709098401 is 52049.

It is a perfect power (a square), and thus also a powerful number.

2709098401 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., 1537816225 + 1171282176 = 39215^2 + 34224^2 .

It is not a de Polignac number, because 2709098401 - 215 = 2709065633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2709098101) 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, 37110901 + ... + 37110973.

Almost surely, 22709098401 is an apocalyptic number.

2709098401 is the 52049-th square number.

2709098401 is the 26025-th centered octagonal number.

It is an amenable number.

2709098401 is a deficient number, since it is larger than the sum of its proper divisors (257845586).

2709098401 is an frugal number, since it uses more digits than its factorization.

2709098401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The cubic root of 2709098401 is about 1394.0390089240.

The spelling of 2709098401 in words is "two billion, seven hundred nine million, ninety-eight thousand, four hundred one".

Divisors: 1 23 31 73 529 713 961 1679 2263 5329 16399 22103 38617 52049 70153 122567 165199 508369 1197127 1613519 2819041 3799577 5121169 37110937 87390271 117786887 2709098401