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643212424212347 = 112917923348345359
BaseRepresentation
bin1001001000111111111001000…
…0000011110110111101111011
310010100102111200202201112021002
42102033332100003312331323
51133301343021044243342
610155555413004235215
7252324364326515363
oct22217762003667573
93110374622645232
10643212424212347
11176a46947a55580
1260182a6353bb0b
13217b9895c26092
14b4b990c8079a3
154e566706bad32
hex248ff900f6f7b

643212424212347 has 32 divisors (see below), whose sum is σ = 733070362752000. Its totient is φ = 559011573111040.

The previous prime is 643212424212343. The next prime is 643212424212349. The reversal of 643212424212347 is 743212424212346.

It is not a de Polignac number, because 643212424212347 - 22 = 643212424212343 is a prime.

It is a super-3 number, since 3×6432124242123473 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (643212424212343) 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 31 ways as a sum of consecutive naturals, for example, 10868147 + ... + 37477212.

It is an arithmetic number, because the mean of its divisors is an integer number (22908448836000).

Almost surely, 2643212424212347 is an apocalyptic number.

643212424212347 is a deficient number, since it is larger than the sum of its proper divisors (89857938539653).

643212424212347 is a wasteful number, since it uses less digits than its factorization.

643212424212347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48345811.

The product of its digits is 3096576, while the sum is 47.

Subtracting 643212424212347 from its reverse (743212424212346), we obtain a palindrome (99999999999999).

The spelling of 643212424212347 in words is "six hundred forty-three trillion, two hundred twelve billion, four hundred twenty-four million, two hundred twelve thousand, three hundred forty-seven".

Divisors: 1 11 29 179 233 319 1969 2563 5191 6757 41707 57101 74327 458777 1209503 13304533 48345359 531798949 1402015411 8653819261 11264468647 15422169521 95192011871 123909155117 250960758569 326669590763 2016339887813 2760568344259 3593365498393 22179738765943 58473856746577 643212424212347