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22161034653054 = 2311292797500947
BaseRepresentation
bin1010000100111110001001…
…00110010010110101111110
32220110120111121102022210020
411002133010212102311332
510401041244332344204
6115044345550353010
74445040045342243
oct502370446226576
986416447368706
1022161034653054
117074495363150
12259ab597bb766
13c49a13265a5b
14568857bcd5ca
152866d5579bd9
hex1427c4992d7e

22161034653054 has 96 divisors (see below), whose sum is σ = 50139059757696. Its totient is φ = 6475748979840.

The previous prime is 22161034653047. The next prime is 22161034653061. The reversal of 22161034653054 is 45035643016122.

It is an interprime number because it is at equal distance from previous prime (22161034653047) and next prime (22161034653061).

It is a super-2 number, since 2×221610346530542 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22161034652997 and 22161034653015.

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 47 ways as a sum of consecutive naturals, for example, 43987809 + ... + 44488755.

It is an arithmetic number, because the mean of its divisors is an integer number (522281872476).

Almost surely, 222161034653054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22161034653054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25069529878848).

22161034653054 is an abundant number, since it is smaller than the sum of its proper divisors (27978025104642).

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

22161034653054 is a wasteful number, since it uses less digits than its factorization.

22161034653054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501818 (or 501789 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 22161034653054 its reverse (45035643016122), we get a palindrome (67196677669176).

The spelling of 22161034653054 in words is "twenty-two trillion, one hundred sixty-one billion, thirty-four million, six hundred fifty-three thousand, fifty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 797 841 957 1594 1682 1914 2391 2523 4782 5046 8767 9251 17534 18502 23113 26301 27753 46226 52602 55506 69339 138678 254243 500947 508486 670277 762729 1001894 1340554 1502841 1525458 2010831 3005682 4021662 5510417 7373047 11020834 14527463 14746094 16531251 22119141 29054926 33062502 43582389 44238282 87164778 159802093 319604186 399254759 421296427 479406279 798509518 842592854 958812558 1197764277 1263889281 2395528554 2527778562 4391802349 4634260697 8783604698 9268521394 11578388011 13175407047 13902782091 23156776022 26350814094 27805564182 34735164033 69470328066 127362268121 254724536242 335773252319 382086804363 671546504638 764173608726 1007319756957 2014639513914 3693505775509 7387011551018 11080517326527 22161034653054