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3422420263136 = 257175916699127
BaseRepresentation
bin110001110011011000001…
…001001110000011100000
3110010011212100112000120002
4301303120021032003200
5422033104041410021
611140123235435132
7502155523151540
oct61633011160340
913104770460502
103422420263136
1110aa49301a666
12473355755aa8
131ba96b0a7924
14bb908997320
155e0595d350b
hex31cd824e0e0

3422420263136 has 192 divisors, whose sum is σ = 8297483443200. Its totient is φ = 1356112502784.

The previous prime is 3422420263123. The next prime is 3422420263147. The reversal of 3422420263136 is 6313620242243.

It is a self number, because there is not a number n which added to its sum of digits gives 3422420263136.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 374973005 + ... + 374982131.

It is an arithmetic number, because the mean of its divisors is an integer number (43216059600).

Almost surely, 23422420263136 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 3422420263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148741721600).

3422420263136 is an abundant number, since it is smaller than the sum of its proper divisors (4875063180064).

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

3422420263136 is a wasteful number, since it uses less digits than its factorization.

3422420263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10881 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

The spelling of 3422420263136 in words is "three trillion, four hundred twenty-two billion, four hundred twenty million, two hundred sixty-three thousand, one hundred thirty-six".