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10206414350006 = 272941883169431
BaseRepresentation
bin1001010010000101110110…
…1100111010011010110110
31100010201112120020200100112
42110201131230322122312
52314210214033200011
633412432332543022
72102250314356220
oct224413554723266
940121476220315
1010206414350006
113285574902326
12118a0a3621a72
135905cb33a574
14273dc907b410
1512a75b59a58b
hex9485db3a6b6

10206414350006 has 64 divisors (see below), whose sum is σ = 18543876341760. Its totient is φ = 4119809568000.

The previous prime is 10206414350003. The next prime is 10206414350009. The reversal of 10206414350006 is 60005341460201.

It is an interprime number because it is at equal distance from previous prime (10206414350003) and next prime (10206414350009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206414350003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146966111 + ... + 147035541.

It is an arithmetic number, because the mean of its divisors is an integer number (289748067840).

Almost surely, 210206414350006 is an apocalyptic number.

10206414350006 is a deficient number, since it is larger than the sum of its proper divisors (8337461991754).

10206414350006 is a wasteful number, since it uses less digits than its factorization.

10206414350006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78341.

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 10206414350006 in words is "ten trillion, two hundred six billion, four hundred fourteen million, three hundred fifty thousand, six".

Divisors: 1 2 7 14 29 41 58 82 203 287 406 574 1189 2378 8323 8831 16646 17662 61817 69431 123634 138862 256099 362071 486017 512198 724142 972034 1792693 2013499 2534497 2846671 3585386 4026998 5068994 5693342 10500059 14094493 19926697 21000118 28188986 39853394 73500413 82553459 147000826 165106918 577874213 613145161 1155748426 1226290322 4292016127 8584032254 17781209669 25138951601 35562419338 50277903202 124468467683 175972661207 248936935366 351945322414 729029596429 1458059192858 5103207175003 10206414350006