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6334425216 = 273273172341
BaseRepresentation
bin1011110011000111…
…11010100010000000
3121100110100010211100
411321203322202000
5100433103101331
62524320414400
7312654504000
oct57143724200
917313303740
106334425216
112760688469
121289477400
1379c45ab02
144413c4000
15271196ae6
hex1798fa880

6334425216 has 768 divisors, whose sum is σ = 24058944000. Its totient is φ = 1589575680.

The previous prime is 6334425187. The next prime is 6334425259. The reversal of 6334425216 is 6125244336.

6334425216 is a `hidden beast` number, since 63 + 34 + 42 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154498156 + ... + 154498196.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 26334425216 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 6334425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029472000).

6334425216 is an abundant number, since it is smaller than the sum of its proper divisors (17724518784).

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

6334425216 is a wasteful number, since it uses less digits than its factorization.

6334425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 6334425216 is about 79589.1023696084. The cubic root of 6334425216 is about 1850.2726859795.

The spelling of 6334425216 in words is "six billion, three hundred thirty-four million, four hundred twenty-five thousand, two hundred sixteen".