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3390370672128 = 293111271739133
BaseRepresentation
bin110001010101100001110…
…101101110111000000000
3110000010010202120002212220
4301111201311232320000
5421021434343002003
611113303105451040
7466642355135646
oct61254165567000
913003122502786
103390370672128
111097936948570
124690b0340a80
131b79311c42ab
14ba148265196
155d2d0a9d353
hex31561d6ee00

3390370672128 has 320 divisors, whose sum is σ = 9989346926592. Its totient is φ = 1013292564480.

The previous prime is 3390370672061. The next prime is 3390370672151. The reversal of 3390370672128 is 8212760730933.

It is a super-2 number, since 2×33903706721282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371217450 + ... + 371226582.

Almost surely, 23390370672128 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 3390370672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994673463296).

3390370672128 is an abundant number, since it is smaller than the sum of its proper divisors (6598976254464).

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

3390370672128 is a wasteful number, since it uses less digits than its factorization.

3390370672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 3390370672128 in words is "three trillion, three hundred ninety billion, three hundred seventy million, six hundred seventy-two thousand, one hundred twenty-eight".