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22000616640054 = 23213375167491789
BaseRepresentation
bin1010000000010011010101…
…11100001000111000110110
32212220020102210121220202100
411000021222330020320312
510340424230324440204
6114442535503522530
74430330534622243
oct500115274107066
985806383556670
1022000616640054
1170124555a16a8
122573a49bb9446
13c3785951b980
14560b9a9865ca
1528244706ba39
hex14026af08e36

22000616640054 has 96 divisors (see below), whose sum is σ = 52732509298560. Its totient is φ = 6585175086336.

The previous prime is 22000616640053. The next prime is 22000616640097. The reversal of 22000616640054 is 45004661600022.

22000616640054 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 6 + 1 + 6 + 640 + 0 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000616640053) 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 47 ways as a sum of consecutive naturals, for example, 44489992 + ... + 44981780.

It is an arithmetic number, because the mean of its divisors is an integer number (549296971860).

Almost surely, 222000616640054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000616640054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26366254649280).

22000616640054 is an abundant number, since it is smaller than the sum of its proper divisors (30731892658506).

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

22000616640054 is a wasteful number, since it uses less digits than its factorization.

22000616640054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497014 (or 497011 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22000616640054 in words is "twenty-two trillion, six hundred sixteen million, six hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 5167 8658 10334 15501 31002 46503 67171 93006 134342 191179 201513 382358 403026 491789 573537 604539 983578 1147074 1209078 1475367 1720611 2485327 2950734 3441222 4426101 4970654 6393257 7455981 8852202 12786514 14911962 18196193 19179771 22367943 36392386 38359542 44735886 54588579 57539313 109177158 115078626 163765737 236550509 327531474 473101018 709651527 1419303054 2128954581 2541073763 4257909162 5082147526 7623221289 15246442578 22869663867 33033958919 45739327734 66067917838 94019729231 99101876757 188039458462 198203753514 282059187693 297305630271 564118375386 594611260542 846177563079 1222256480003 1692355126158 2444512960006 3666769440009 7333538880018 11000308320027 22000616640054