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86757831764331 = 3713757919456809
BaseRepresentation
bin10011101110011111100001…
…101111100110100101101011
3102101011222010110112222211120
4103232133201233212211223
542332420014412424311
6504303555300230323
724163021643261130
oct2356374157464553
9371158113488746
1086757831764331
1125709876293742
1298922ba39b3a3
1339542c7b29830
14175d15c5ac587
15a06b84b86706
hex4ee7e1be696b

86757831764331 has 64 divisors (see below), whose sum is σ = 142715337676800. Its totient is φ = 45652090530816.

The previous prime is 86757831764291. The next prime is 86757831764419. The reversal of 86757831764331 is 13346713875768.

It is a de Polignac number, because none of the positive numbers 2k-86757831764331 is a prime.

It is a super-2 number, since 2×867578317643312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86757831764431) 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 63 ways as a sum of consecutive naturals, for example, 189693055 + ... + 190149863.

It is an arithmetic number, because the mean of its divisors is an integer number (2229927151200).

Almost surely, 286757831764331 is an apocalyptic number.

86757831764331 is a deficient number, since it is larger than the sum of its proper divisors (55957505912469).

86757831764331 is a wasteful number, since it uses less digits than its factorization.

86757831764331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458508.

The product of its digits is 426746880, while the sum is 69.

The spelling of 86757831764331 in words is "eighty-six trillion, seven hundred fifty-seven billion, eight hundred thirty-one million, seven hundred sixty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 757 919 2271 2757 5299 6433 9841 11947 15897 19299 29523 35841 68887 83629 206661 250887 456809 695683 1370427 2087049 3197663 4869781 5938517 9043879 9592989 14609343 17815551 27131637 41569619 63307153 124708857 189921459 345804413 419807471 1037413239 1259422413 2420630891 2938652297 4495457369 5457497123 7261892673 8815956891 13486372107 16372491369 31468201583 38202479861 94404604749 114607439583 317794255547 953382766641 2224559788829 4131325322111 6673679366487 12393975966333 28919277254777 86757831764331