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643212666212346 = 23313190926302829
BaseRepresentation
bin1001001000111111111001111…
…0011111000000111111111010
310010100102112022122002101212000
42102033332132133000333322
51133301344020022243341
610155555453011201430
7252324403325500626
oct22217763637007772
93110375278071760
10643212666212346
11176a46a6161477a
1260182b105a6276
13217b99040c7349
14b4b9932a00186
154e56686a6e8b6
hex248ff9e7c0ffa

643212666212346 has 32 divisors (see below), whose sum is σ = 1440272636827200. Its totient is φ = 212767548617520.

The previous prime is 643212666212219. The next prime is 643212666212407.

643212666212346 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 643212666212292 and 643212666212301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45463144341 + ... + 45463158488.

It is an arithmetic number, because the mean of its divisors is an integer number (45008519900850).

Almost surely, 2643212666212346 is an apocalyptic number.

643212666212346 is an abundant number, since it is smaller than the sum of its proper divisors (797059970614854).

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

643212666212346 is a wasteful number, since it uses less digits than its factorization.

643212666212346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90926302971 (or 90926302965 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 643212666212346 in words is "six hundred forty-three trillion, two hundred twelve billion, six hundred sixty-six million, two hundred twelve thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 131 262 393 786 1179 2358 3537 7074 90926302829 181852605658 272778908487 545557816974 818336725461 1636673450922 2455010176383 4910020352766 11911345670599 23822691341198 35734037011797 71468074023594 107202111035391 214404222070782 321606333106173 643212666212346