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25440569001 = 327926732
BaseRepresentation
bin10111101100011000…
…000100011010101001
32102122222220210212100
4113230120010122221
5404100241202001
615404235404013
71560304161051
oct275430043251
972588823770
1025440569001
11a8755a1041
124b1bbb3609
1325258b0633
141334aac561
159dd6eb586
hex5ec6046a9

25440569001 has 27 divisors (see below), whose sum is σ = 37273919319. Its totient is φ = 16720808832.

The previous prime is 25440568999. The next prime is 25440569017. The reversal of 25440569001 is 10096504452.

The square root of 25440569001 is 159501.

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

25440569001 is a `hidden beast` number, since 2 + 54 + 40 + 569 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8325650025 + 17114918976 = 91245^2 + 130824^2 .

It is not a de Polignac number, because 25440569001 - 21 = 25440568999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25440569101) 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, 37801401 + ... + 37802073.

Almost surely, 225440569001 is an apocalyptic number.

25440569001 is the 159501-st square number.

25440569001 is the 79751-st centered octagonal number.

It is an amenable number.

25440569001 is a deficient number, since it is larger than the sum of its proper divisors (11833350318).

25440569001 is an frugal number, since it uses more digits than its factorization.

25440569001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 25440569001 by its sum of digits (36), we get a square (915860484036 = 9570062).

It can be divided in two parts, 25440 and 569001, that added together give a square (594441 = 7712).

The spelling of 25440569001 in words is "twenty-five billion, four hundred forty million, five hundred sixty-nine thousand, one".

Divisors: 1 3 9 79 237 673 711 2019 6057 6241 18723 53167 56169 159501 452929 478503 1358787 4076361 4200193 12600579 35781391 37801737 107344173 322032519 2826729889 8480189667 25440569001