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6406914401 = 7121270961
BaseRepresentation
bin1011111011110000…
…11100000101100001
3121112111201222021222
411331320130011201
5101110132230101
62535430224425
7314524605506
oct57570340541
917474658258
106406914401
112798599688
1212a97b5115
137b148b614
1444ac934ad
1527771501b
hex17de1c161

6406914401 has 6 divisors (see below), whose sum is σ = 6498428706. Its totient is φ = 6316671200.

The previous prime is 6406914383. The next prime is 6406914427. The reversal of 6406914401 is 1044196046.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5890716001 + 516198400 = 76751^2 + 22720^2 .

It is not a de Polignac number, because 6406914401 - 222 = 6402720097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6406914461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 630440 + ... + 640521.

It is an arithmetic number, because the mean of its divisors is an integer number (1083071451).

Almost surely, 26406914401 is an apocalyptic number.

It is an amenable number.

6406914401 is a deficient number, since it is larger than the sum of its proper divisors (91514305).

6406914401 is an equidigital number, since it uses as much as digits as its factorization.

6406914401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271103 (or 1271032 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6406914401 is about 80043.2033404461. The cubic root of 6406914401 is about 1857.3039137706.

The spelling of 6406914401 in words is "six billion, four hundred six million, nine hundred fourteen thousand, four hundred one".

Divisors: 1 71 5041 1270961 90238231 6406914401