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2006526761343 = 321383510740459
BaseRepresentation
bin11101001100101110010…
…100001001100101111111
321002211012022002200100200
4131030232110021211333
5230333331322330333
64133441412054543
7264652414026546
oct35145624114577
97084168080320
102006526761343
11703a66057225
12284a65904453
131172a37c5030
146d18b61d15d
15372daeb7c13
hex1d32e50997f

2006526761343 has 48 divisors (see below), whose sum is σ = 3159566067840. Its totient is φ = 1219639747392.

The previous prime is 2006526761321. The next prime is 2006526761359. The reversal of 2006526761343 is 3431676256002.

2006526761343 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 5 + 26 + 7 + 613 + 4 + 3 = 666.

It is not a de Polignac number, because 2006526761343 - 29 = 2006526760831 is a prime.

It is a super-2 number, since 2×20065267613432 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006526761143) 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 47 ways as a sum of consecutive naturals, for example, 49573848 + ... + 49614306.

It is an arithmetic number, because the mean of its divisors is an integer number (65824293080).

Almost surely, 22006526761343 is an apocalyptic number.

2006526761343 is a deficient number, since it is larger than the sum of its proper divisors (1153039306497).

2006526761343 is a wasteful number, since it uses less digits than its factorization.

2006526761343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45668 (or 45665 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2006526761343 in words is "two trillion, six billion, five hundred twenty-six million, seven hundred sixty-one thousand, three hundred forty-three".

Divisors: 1 3 9 13 39 83 117 249 747 1079 3237 5107 9711 15321 40459 45963 66391 121377 199173 364131 423881 525967 597519 1271643 1577901 3358097 3814929 4733703 5510453 10074291 16531359 30222873 43655261 49594077 130965783 206624113 392897349 619872339 1859617017 2686113469 8058340407 17149801379 24175021221 51449404137 154348212411 222947417927 668842253781 2006526761343