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383642712357021 = 32134179975549793
BaseRepresentation
bin101011100111010111100011…
…1100101110011100010011101
31212022100212220020202111021100
41113032233013211303202131
5400241100233330411041
63435535010132423313
7143544162024013665
oct12716570745634235
91768325806674240
10383642712357021
11101270a62642947
1237040640177b39
131360b4776c8a60
146aa45990631a5
152e546625176b6
hex15cebc797389d

383642712357021 has 24 divisors (see below), whose sum is σ = 611333102625336. Its totient is φ = 230329583400960.

The previous prime is 383642712357013. The next prime is 383642712357043. The reversal of 383642712357021 is 120753217246383.

It is a happy number.

383642712357021 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 4 + 27 + 1 + 23 + 570 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27934248101796 + 355708464255225 = 5285286^2 + 18860235^2 .

It is not a de Polignac number, because 383642712357021 - 23 = 383642712357013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383642712357721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39987770100 + ... + 39987779693.

It is an arithmetic number, because the mean of its divisors is an integer number (25472212609389).

Almost surely, 2383642712357021 is an apocalyptic number.

It is an amenable number.

383642712357021 is a deficient number, since it is larger than the sum of its proper divisors (227690390268315).

383642712357021 is a wasteful number, since it uses less digits than its factorization.

383642712357021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79975549853 (or 79975549850 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 383642712357021 in words is "three hundred eighty-three trillion, six hundred forty-two billion, seven hundred twelve million, three hundred fifty-seven thousand, twenty-one".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 79975549793 239926649379 719779948137 1039682147309 3119046441927 3278997541513 9357139325781 9836992624539 29510977873617 42626968039669 127880904119007 383642712357021