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643241242142346 = 232331155139833377
BaseRepresentation
bin1001001001000001100100010…
…1101111100010011010001010
310010100112021002010202001102210
42102100121011233202122022
51133302331030442023341
610200020540332405550
7252326434424054121
oct22220310557423212
93110467063661383
10643241242142346
11176a58095a19951
12601885666168b6
13217bc509433b73
14b4bb083c6cab8
154e572aa64bc16
hex2490645be268a

643241242142346 has 32 divisors (see below), whose sum is σ = 1292115752898048. Its totient is φ = 213475028659200.

The previous prime is 643241242142287. The next prime is 643241242142351.

It is a happy number.

643241242142346 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 643241242142295 and 643241242142304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3768391 + ... + 36064986.

It is an arithmetic number, because the mean of its divisors is an integer number (40378617278064).

Almost surely, 2643241242142346 is an apocalyptic number.

643241242142346 is an abundant number, since it is smaller than the sum of its proper divisors (648874510755702).

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

643241242142346 is a wasteful number, since it uses less digits than its factorization.

643241242142346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39845166.

The product of its digits is 5308416, while the sum is 48.

The spelling of 643241242142346 in words is "six hundred forty-three trillion, two hundred forty-one billion, two hundred forty-two million, one hundred forty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 233 466 699 1398 11551 23102 34653 69306 2691383 5382766 8074149 16148298 39833377 79666754 119500131 239000262 9281176841 18562353682 27843530523 55687061046 460115337727 920230675454 1380346013181 2760692026362 107206873690391 214413747380782 321620621071173 643241242142346