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6403982416 = 2413171811081
BaseRepresentation
bin1011111011011010…
…10000010001010000
3121112022020000100221
411331231100101100
5101103404414131
62535243322424
7314460644446
oct57555202120
917468200327
106403982416
112796976857
1212a8820414
137b09a2c10
1444a72cb96
15277336411
hex17db50450

6403982416 has 40 divisors (see below), whose sum is σ = 14148172584. Its totient is φ = 2781818880.

The previous prime is 6403982393. The next prime is 6403982419. The reversal of 6403982416 is 6142893046.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1219406400 + 5184576016 = 34920^2 + 72004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6403982419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902005 + ... + 909076.

Almost surely, 26403982416 is an apocalyptic number.

It is an amenable number.

6403982416 is an abundant number, since it is smaller than the sum of its proper divisors (7744190168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6403982416 is a wasteful number, since it uses less digits than its factorization.

6403982416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811119 (or 1811113 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 6403982416 is about 80024.8862292225. The cubic root of 6403982416 is about 1857.0205522973.

The spelling of 6403982416 in words is "six billion, four hundred three million, nine hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 1811081 3622162 7244324 14488648 23544053 28977296 30788377 47088106 61576754 94176212 123153508 188352424 246307016 376704848 400248901 492614032 800497802 1600995604 3201991208 6403982416