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3422266045664 = 251783912296101
BaseRepresentation
bin110001110011001110111…
…100111011010011100000
3110010011110121022221221212
4301303032330323103200
5422032300101430124
611140100050205252
7502151641265114
oct61631674732340
913104417287855
103422266045664
1110aa413a67804
12473311b83828
131ba94516019b
14bb8d22d1744
155e04acbe40e
hex31ccef3b4e0

3422266045664 has 96 divisors (see below), whose sum is σ = 7149400977600. Its totient is φ = 1606986342400.

The previous prime is 3422266045577. The next prime is 3422266045687. The reversal of 3422266045664 is 4665406622243.

It is a super-2 number, since 2×34222660456642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560932214 + ... + 560938314.

It is an arithmetic number, because the mean of its divisors is an integer number (74472926850).

Almost surely, 23422266045664 is an apocalyptic number.

3422266045664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422266045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574700488800).

3422266045664 is an abundant number, since it is smaller than the sum of its proper divisors (3727134931936).

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

3422266045664 is a wasteful number, since it uses less digits than its factorization.

3422266045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 50.

The spelling of 3422266045664 in words is "three trillion, four hundred twenty-two billion, two hundred sixty-six million, forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 839 1229 1678 2458 3356 4916 6101 6712 9832 12202 13424 14263 19664 20893 24404 26848 28526 39328 41786 48808 57052 83572 97616 103717 114104 167144 195232 207434 228208 334288 414868 456416 668576 829736 1031131 1659472 2062262 3318944 4124524 5118739 7498129 8249048 10237478 14996258 16498096 17529227 20474956 29992516 32996192 35058454 40949912 59985032 70116908 81899824 87018563 119970064 127468193 140233816 163799648 174037126 239940128 254936386 280467632 348074252 509872772 560935264 696148504 1019745544 1392297008 2039491088 2784594016 4078982176 6290930231 12581860462 25163720924 50327441848 100654883696 106945813927 201309767392 213891627854 427783255708 855566511416 1711133022832 3422266045664