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6245121216 = 263269120917
BaseRepresentation
bin1011101000011110…
…01111110011000000
3121010020022000202210
411310033033303000
5100242222334331
62511410342120
7310521440325
oct56417176300
917106260683
106245121216
112715232004
12126358a940
13786ac08c9
144335b8b4c
15268406446
hex1743cfcc0

6245121216 has 56 divisors (see below), whose sum is σ = 16585112880. Its totient is φ = 2073951232.

The previous prime is 6245121209. The next prime is 6245121217. The reversal of 6245121216 is 6121215426.

It is not an unprimeable number, because it can be changed into a prime (6245121217) 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 7 ways as a sum of consecutive naturals, for example, 8811 + ... + 112106.

It is an arithmetic number, because the mean of its divisors is an integer number (296162730).

Almost surely, 26245121216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6245121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292556440).

6245121216 is an abundant number, since it is smaller than the sum of its proper divisors (10339991664).

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

6245121216 is a wasteful number, since it uses less digits than its factorization.

6245121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121201 (or 121191 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 6245121216 is about 79026.0793409366. The cubic root of 6245121216 is about 1841.5363287143.

The spelling of 6245121216 in words is "six billion, two hundred forty-five million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 538 807 1076 1614 2152 3228 4304 6456 8608 12912 17216 25824 51648 120917 241834 362751 483668 725502 967336 1451004 1934672 2902008 3869344 5804016 7738688 11608032 23216064 32526673 65053346 97580019 130106692 195160038 260213384 390320076 520426768 780640152 1040853536 1561280304 2081707072 3122560608 6245121216