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3878338706433 = 3271101367163741
BaseRepresentation
bin111000011011111111000…
…000000011110000000001
3111201202200002111122002100
4320123333000003300001
51002020314202101213
612125403442141013
7550125564035202
oct70337700036001
914652602448070
103878338706433
111265881101064
12527793951769
13221958697929
14d59d95095a9
156ad40249773
hex386ff003c01

3878338706433 has 48 divisors (see below), whose sum is σ = 5752861650432. Its totient is φ = 2517011280000.

The previous prime is 3878338706419. The next prime is 3878338706441. The reversal of 3878338706433 is 3346078338783.

3878338706433 is a `hidden beast` number, since 38 + 78 + 3 + 38 + 70 + 6 + 433 = 666.

It is not a de Polignac number, because 3878338706433 - 25 = 3878338706401 is a prime.

It is a super-2 number, since 2×38783387064332 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3878338706933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23603943 + ... + 23767683.

It is an arithmetic number, because the mean of its divisors is an integer number (119851284384).

Almost surely, 23878338706433 is an apocalyptic number.

It is an amenable number.

3878338706433 is a deficient number, since it is larger than the sum of its proper divisors (1874522943999).

3878338706433 is a wasteful number, since it uses less digits than its factorization.

3878338706433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164286 (or 164283 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3878338706433 in words is "three trillion, eight hundred seventy-eight billion, three hundred thirty-eight million, seven hundred six thousand, four hundred thirty-three".

Divisors: 1 3 9 71 101 213 303 367 639 909 1101 3303 7171 21513 26057 37067 64539 78171 111201 163741 234513 333603 491223 1473669 2631757 7895271 11625611 16537841 23685813 34876833 49613523 60092947 104630499 148840569 180278841 540836523 1174186711 3522560133 4266599237 6069387647 10567680399 12799797711 18208162941 38399393133 54624488823 430926522937 1292779568811 3878338706433