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2753732641 = 112172575209
BaseRepresentation
bin1010010000100010…
…1010000000100001
321002220122010000211
42210020222000201
521114423421031
61133130014121
7125145225022
oct24410520041
97086563024
102753732641
111193457100
1264a277341
1334b67aaca
141c1a1cc49
15111b4abb1
hexa422a021

2753732641 has 24 divisors (see below), whose sum is σ = 3217966920. Its totient is φ = 2346516480.

The previous prime is 2753732627. The next prime is 2753732647. The reversal of 2753732641 is 1462373572.

It can be written as a sum of positive squares in 4 ways, for example, as 2381049616 + 372683025 = 48796^2 + 19305^2 .

It is not a de Polignac number, because 2753732641 - 29 = 2753732129 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2753732594 and 2753732603.

It is not an unprimeable number, because it can be changed into a prime (2753732647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526045 + ... + 531253.

It is an arithmetic number, because the mean of its divisors is an integer number (134081955).

Almost surely, 22753732641 is an apocalyptic number.

It is an amenable number.

2753732641 is a deficient number, since it is larger than the sum of its proper divisors (464234279).

2753732641 is a wasteful number, since it uses less digits than its factorization.

2753732641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5494 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 2753732641 is about 52476.0196756576. The cubic root of 2753732641 is about 1401.6532579560.

The spelling of 2753732641 in words is "two billion, seven hundred fifty-three million, seven hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 11 17 121 187 257 2057 2827 4369 5209 31097 48059 57299 88553 528649 630289 974083 1338713 10714913 14725843 22758121 161984273 250339331 2753732641