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642716617246 = 2111729578310247
BaseRepresentation
bin10010101101001001110…
…01010100101000011110
32021102222000201001021021
421112210321110220132
541012240423222441
61211132051354354
764302055051504
oct11264471245036
92242860631237
10642716617246
11228635858360
12a46905b29ba
13487b9793ca2
142317156c674
1511aba0bd3d1
hex95a4e54a1e

642716617246 has 64 divisors (see below), whose sum is σ = 1152294958080. Its totient is φ = 265405826560.

The previous prime is 642716617241. The next prime is 642716617253.

642716617246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 642716617193 and 642716617202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642716617241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62717295 + ... + 62727541.

It is an arithmetic number, because the mean of its divisors is an integer number (18004608720).

Almost surely, 2642716617246 is an apocalyptic number.

642716617246 is a deficient number, since it is larger than the sum of its proper divisors (509578340834).

642716617246 is a wasteful number, since it uses less digits than its factorization.

642716617246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16089.

The product of its digits is 4064256, while the sum is 52.

The spelling of 642716617246 in words is "six hundred forty-two billion, seven hundred sixteen million, six hundred seventeen thousand, two hundred forty-six".

Divisors: 1 2 11 17 22 29 34 58 187 319 374 493 638 986 5423 5783 10247 10846 11566 20494 63613 98311 112717 127226 167707 174199 196622 225434 297163 335414 348398 594326 1081421 1844777 1916189 2162842 2851019 3268793 3689554 3832378 5051771 5702038 6537586 10103542 31361209 55569481 59258401 62722418 111138962 118516802 651842411 1007392817 1303684822 1718493629 2014785634 3436987258 11081320987 18903429919 22162641974 29214391693 37806859838 58428783386 321358308623 642716617246