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4125604339872 = 25348388121767
BaseRepresentation
bin111100000010010001001…
…011100110000010100000
3112121101220110102021110000
4330002101023212002200
51020043214202333442
612435135414540000
7604031215165611
oct74022113460240
915541813367400
104125604339872
111350728106234
125676a0667600
1323c0730c9732
14103974addc08
15724b2e90d4c
hex3c0912e60a0

4125604339872 has 240 divisors, whose sum is σ = 12293974832832. Its totient is φ = 1357028259840.

The previous prime is 4125604339849. The next prime is 4125604339931. The reversal of 4125604339872 is 2789334065214.

4125604339872 is a `hidden beast` number, since 4 + 1 + 2 + 56 + 0 + 433 + 98 + 72 = 666.

It is a super-2 number, since 2×41256043398722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 189523933 + ... + 189545699.

It is a 1-persistent number, because it is pandigital, but 2⋅4125604339872 = 8251208679744 is not.

Almost surely, 24125604339872 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 4125604339872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146987416416).

4125604339872 is an abundant number, since it is smaller than the sum of its proper divisors (8168370492960).

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

4125604339872 is a wasteful number, since it uses less digits than its factorization.

4125604339872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753 (or 22736 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 4125604339872 in words is "four trillion, one hundred twenty-five billion, six hundred four million, three hundred thirty-nine thousand, eight hundred seventy-two".