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5409749601 = 32245172
BaseRepresentation
bin1010000100111001…
…00011101001100001
3111222000101202100100
411002130203221201
542034343441401
62252445413013
7251026053504
oct50234435141
914860352310
105409749601
112326731a43
12106b86a169
13682a04a89
1439468313b
15219de3b86
hex142723a61

5409749601 has 9 divisors (see below), whose sum is σ = 7814401491. Its totient is φ = 3606352632.

The previous prime is 5409749599. The next prime is 5409749659. The reversal of 5409749601 is 1069479045.

The square root of 5409749601 is 73551.

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

5409749601 is a `hidden beast` number, since 540 + 9 + 7 + 49 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1168614225 + 4241135376 = 34185^2 + 65124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 5409749601 - 21 = 5409749599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5409749671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 208395 + ... + 232911.

Almost surely, 25409749601 is an apocalyptic number.

5409749601 is the 73551-st square number.

5409749601 is the 36776-th centered octagonal number.

It is an amenable number.

5409749601 is a deficient number, since it is larger than the sum of its proper divisors (2404651890).

5409749601 is an frugal number, since it uses more digits than its factorization.

5409749601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49040 (or 24520 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 5409749601 is about 1755.4658602077.

The spelling of 5409749601 in words is "five billion, four hundred nine million, seven hundred forty-nine thousand, six hundred one".

Divisors: 1 3 9 24517 73551 220653 601083289 1803249867 5409749601