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238817027085 = 35713199208291
BaseRepresentation
bin1101111001101010011…
…0101010010000001101
3211211102120100222020020
43132122212222100031
512403044124331320
6301413325412353
723153052144120
oct3363246522015
9754376328206
10238817027085
1192310a9317a
123a34b40a0b9
131969c28c460
14b7b75123b7
15632b185940
hex379a9aa40d

238817027085 has 64 divisors (see below), whose sum is σ = 495037777920. Its totient is φ = 95471550720.

The previous prime is 238817027083. The next prime is 238817027117. The reversal of 238817027085 is 580720718832.

238817027085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238817027085 - 21 = 238817027083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238817027083) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4578211 + ... + 4630080.

It is an arithmetic number, because the mean of its divisors is an integer number (7734965280).

Almost surely, 2238817027085 is an apocalyptic number.

It is an amenable number.

238817027085 is an abundant number, since it is smaller than the sum of its proper divisors (256220750835).

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

238817027085 is a wasteful number, since it uses less digits than its factorization.

238817027085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208338.

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 238817027085 in words is "two hundred thirty-eight billion, eight hundred seventeen million, twenty-seven thousand, eighty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 91 95 105 133 195 247 273 285 399 455 665 741 1235 1365 1729 1995 3705 5187 8645 25935 9208291 27624873 46041455 64458037 119707783 138124365 174957529 193374111 322290185 359123349 524872587 598538915 837954481 874787645 966870555 1224702703 1795616745 2274447877 2513863443 2624362935 3674108109 4189772405 6123513515 6823343631 11372239385 12569317215 15921135139 18370540545 34116718155 47763405417 79605675695 238817027085