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2117344522104 = 233272600154343
BaseRepresentation
bin11110110011111011100…
…100010110111101111000
321111102020101021012121100
4132303323210112331320
5234142310144201404
64300410013211400
7305654525325300
oct36637344267570
97442211235540
102117344522104
11746a62869079
122a2432490b60
13124884552c36
14746a1272600
153a124c94d39
hex1ecfb916f78

2117344522104 has 72 divisors (see below), whose sum is σ = 6670715533560. Its totient is φ = 604955576736.

The previous prime is 2117344522091. The next prime is 2117344522127. The reversal of 2117344522104 is 4012254437112.

2117344522104 is a `hidden beast` number, since 2 + 11 + 73 + 44 + 522 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21173445221042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 300073644 + ... + 300080699.

It is an arithmetic number, because the mean of its divisors is an integer number (92648826855).

Almost surely, 22117344522104 is an apocalyptic number.

2117344522104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2117344522104 is an abundant number, since it is smaller than the sum of its proper divisors (4553371011456).

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

2117344522104 is a wasteful number, since it uses less digits than its factorization.

2117344522104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600154369 (or 600154355 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 2117344522104 its reverse (4012254437112), we get a palindrome (6129598959216).

The spelling of 2117344522104 in words is "two trillion, one hundred seventeen billion, three hundred forty-four million, five hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 600154343 1200308686 1800463029 2400617372 3600926058 4201080401 4801234744 5401389087 7201852116 8402160802 10802778174 12603241203 14403704232 16804321604 21605556348 25206482406 29407562807 33608643208 37809723609 43211112696 50412964812 58815125614 75619447218 88222688421 100825929624 117630251228 151238894436 176445376842 235260502456 264668065263 302477788872 352890753684 529336130526 705781507368 1058672261052 2117344522104