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82640007501142 = 271310317551251177
BaseRepresentation
bin10010110010100100100000…
…010010101001010101010110
3101211121022022012201120012211
4102302210200102221111112
541312433213410014032
6451432143443304034
723256354265455430
oct2262444022512526
9354538265646184
1082640007501142
11243714808a5253
12932822b37b01a
133715bc4831690
141659b24c89650
159849c9c4d747
hex4b29204a9556

82640007501142 has 64 divisors (see below), whose sum is σ = 154056783089664. Its totient is φ = 32373371347200.

The previous prime is 82640007501113. The next prime is 82640007501143. The reversal of 82640007501142 is 24110570004628.

It is a junction number, because it is equal to n+sod(n) for n = 82640007501095 and 82640007501104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82640007501143) 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, 328885458 + ... + 329136634.

It is an arithmetic number, because the mean of its divisors is an integer number (2407137235776).

Almost surely, 282640007501142 is an apocalyptic number.

82640007501142 is a deficient number, since it is larger than the sum of its proper divisors (71416775588522).

82640007501142 is a wasteful number, since it uses less digits than its factorization.

82640007501142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268853.

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 82640007501142 in words is "eighty-two trillion, six hundred forty billion, seven million, five hundred one thousand, one hundred forty-two".

Divisors: 1 2 7 13 14 26 91 103 182 206 721 1339 1442 2678 9373 17551 18746 35102 122857 228163 245714 251177 456326 502354 1597141 1758239 1807753 3194282 3265301 3516478 3615506 6530602 12654271 22857107 23500789 25308542 25871231 45714214 47001578 51742462 164505523 181098617 329011046 336326003 362197234 672652006 2354282021 4408407527 4708564042 8816815054 30858852689 57309297851 61717705378 114618595702 401165084957 454065975281 802330169914 908131950562 3178461826967 5902857678653 6356923653934 11805715357306 41320003750571 82640007501142