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6410252641 = 13254496961
BaseRepresentation
bin1011111100001010…
…01011000101100001
3121112202000120111111
411332011023011201
5101112011041031
62540025543321
7314565151132
oct57605130541
917482016444
106410252641
11279a469761
1212aa944b41
137b2089c00
1444b4c1c89
15277b741b1
hex17e14b161

6410252641 has 12 divisors (see below), whose sum is σ = 6943550700. Its totient is φ = 5915220480.

The previous prime is 6410252609. The next prime is 6410252657. The reversal of 6410252641 is 1462520146.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1310150416 + 5100102225 = 36196^2 + 71415^2 .

It is not a de Polignac number, because 6410252641 - 25 = 6410252609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6410252041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917401 + ... + 924361.

It is an arithmetic number, because the mean of its divisors is an integer number (578629225).

Almost surely, 26410252641 is an apocalyptic number.

It is an amenable number.

6410252641 is a deficient number, since it is larger than the sum of its proper divisors (533298059).

6410252641 is a wasteful number, since it uses less digits than its factorization.

6410252641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6410252641 is about 80064.0533635414. The cubic root of 6410252641 is about 1857.6264325010.

Adding to 6410252641 its reverse (1462520146), we get a palindrome (7872772787).

The spelling of 6410252641 in words is "six billion, four hundred ten million, two hundred fifty-two thousand, six hundred forty-one".

Divisors: 1 13 169 5449 6961 70837 90493 920881 1176409 37930489 493096357 6410252641