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3838287625420 = 22519731381100193
BaseRepresentation
bin110111110110101011110…
…001010011110011001100
3111120221021212022220121111
4313312223301103303030
51000341303113003140
612055141320341404
7544210226335153
oct67665361236314
914527255286544
103838287625420
11124a899334106
1251ba76914864
1321ac44b6bc21
14d3aba24259a
1569c990227ea
hex37dabc53ccc

3838287625420 has 96 divisors (see below), whose sum is σ = 8607177593280. Its totient is φ = 1433531105280.

The previous prime is 3838287625313. The next prime is 3838287625423. The reversal of 3838287625420 is 245267828383.

It is not an unprimeable number, because it can be changed into a prime (3838287625423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38258844 + ... + 38359036.

It is an arithmetic number, because the mean of its divisors is an integer number (89658099930).

Almost surely, 23838287625420 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 3838287625420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303588796640).

3838287625420 is an abundant number, since it is smaller than the sum of its proper divisors (4768889967860).

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

3838287625420 is a wasteful number, since it uses less digits than its factorization.

3838287625420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101675 (or 101673 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 3838287625420 in words is "three trillion, eight hundred thirty-eight billion, two hundred eighty-seven million, six hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1381 1387 1460 2762 2774 5524 5548 6905 6935 13810 13870 26239 27620 27740 52478 100193 100813 104956 131195 200386 201626 262390 400772 403252 500965 504065 524780 1001930 1008130 1903667 1915447 2003860 2016260 3807334 3830894 7314089 7614668 7661788 9518335 9577235 14628178 19036670 19154470 29256356 36570445 38073340 38308940 73140890 138366533 138967691 146281780 276733066 277935382 553466132 555870764 691832665 694838455 1383665330 1389676910 2628964127 2767330660 2779353820 5257928254 10100756909 10515856508 13144820635 20201513818 26289641270 40403027636 50503784545 52579282540 101007569090 191914381271 202015138180 383828762542 767657525084 959571906355 1919143812710 3838287625420