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385938432001 = 61307138114923
BaseRepresentation
bin1011001110110111011…
…10010010000000000001
31100220011201020201000001
411213123232102000001
522310400214311001
6453144144000001
736611625354643
oct5473356220001
91326151221001
10385938432001
11139748202221
126296a000001
132a5173538c5
1414972860893
15a08c1a3001
hex59dbb92001

385938432001 has 16 divisors (see below), whose sum is σ = 393854388928. Its totient is φ = 378075729600.

The previous prime is 385938431981. The next prime is 385938432043. The reversal of 385938432001 is 100234839583.

It is a cyclic number.

It is not a de Polignac number, because 385938432001 - 211 = 385938429953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385938430001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25854526 + ... + 25869448.

It is an arithmetic number, because the mean of its divisors is an integer number (24615899308).

Almost surely, 2385938432001 is an apocalyptic number.

It is an amenable number.

385938432001 is a deficient number, since it is larger than the sum of its proper divisors (7915956927).

385938432001 is a wasteful number, since it uses less digits than its factorization.

385938432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16672.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 385938432001 in words is "three hundred eighty-five billion, nine hundred thirty-eight million, four hundred thirty-two thousand, one".

Divisors: 1 61 307 1381 14923 18727 84241 423967 910303 4581361 20608663 25861987 279463021 1257128443 6326859541 385938432001