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643212424212346 = 21973199981542599
BaseRepresentation
bin1001001000111111111001000…
…0000011110110111101111010
310010100102111200202201112021001
42102033332100003312331322
51133301343021044243341
610155555413004235214
7252324364326515362
oct22217762003667572
93110374622645231
10643212424212346
11176a46947a5557a
1260182a6353bb0a
13217b9895c26091
14b4b990c8079a2
154e566706bad31
hex248ff900f6f7a

643212424212346 has 16 divisors (see below), whose sum is σ = 965790554400000. Its totient is φ = 321282402505488.

The previous prime is 643212424212343. The next prime is 643212424212349.

It is a happy number.

643212424212346 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (643212424212343) and next prime (643212424212349).

It is a super-3 number, since 3×6432124242123463 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 643212424212296 and 643212424212305.

It is not an unprimeable number, because it can be changed into a prime (643212424212343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32883246 + ... + 48659353.

It is an arithmetic number, because the mean of its divisors is an integer number (60361909650000).

Almost surely, 2643212424212346 is an apocalyptic number.

643212424212346 is a deficient number, since it is larger than the sum of its proper divisors (322578130187654).

643212424212346 is a wasteful number, since it uses less digits than its factorization.

643212424212346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81546573.

The product of its digits is 2654208, while the sum is 46.

The spelling of 643212424212346 in words is "six hundred forty-three trillion, two hundred twelve billion, four hundred twenty-four million, two hundred twelve thousand, three hundred forty-six".

Divisors: 1 2 1973 1999 3946 3998 3944027 7888054 81542599 163085198 160883547827 163003655401 321767095654 326007310802 321606212106173 643212424212346