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6374655436864 = 2611213222072
BaseRepresentation
bin101110011000011011100…
…0100101010100001000000
3211120102002200211201022111
41130300313010222201000
51313420243242434424
621320250513145104
71225360622116441
oct134606704524100
924512080751274
106374655436864
112038526897400
1286b54b25b194
13373186c63300
1418076bd552c8
15b0c457eb194
hex5cc3712a840

6374655436864 has 189 divisors, whose sum is σ = 15062877459021. Its totient is φ = 2673468695040.

The previous prime is 6374655436861. The next prime is 6374655436873. The reversal of 6374655436864 is 4686345564736.

The square root of 6374655436864 is 2524808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 942996366400 + 5431659070464 = 971080^2 + 2330592^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6374655436864.

It is not an unprimeable number, because it can be changed into a prime (6374655436861) 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 26 ways as a sum of consecutive naturals, for example, 2888379249 + ... + 2888381455.

Almost surely, 26374655436864 is an apocalyptic number.

6374655436864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6374655436864 is the 2524808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6374655436864

6374655436864 is an abundant number, since it is smaller than the sum of its proper divisors (8688222022157).

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

6374655436864 is an equidigital number, since it uses as much as digits as its factorization.

6374655436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 2233 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 67.

The spelling of 6374655436864 in words is "six trillion, three hundred seventy-four billion, six hundred fifty-five million, four hundred thirty-six thousand, eight hundred sixty-four".