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21161161706022 = 232134791232915313
BaseRepresentation
bin1001100111110111101111…
…00001101100101000100110
32202220222122202001212012200
410303323313201230220212
510233201024344043042
6113001145315155330
74312562212461102
oct463736741545046
982828582055180
1021161161706022
116819442127008
1224592122a5b46
13ba66483c34b0
145322c45ba902
1526a6b505dc4c
hex133ef786ca26

21161161706022 has 96 divisors (see below), whose sum is σ = 49486370169600. Its totient is φ = 6496582219776.

The previous prime is 21161161705963. The next prime is 21161161706039. The reversal of 21161161706022 is 22060716116112.

21161161706022 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 11 + 617 + 0 + 6 + 0 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381900638 + ... + 1381915950.

It is an arithmetic number, because the mean of its divisors is an integer number (515483022600).

Almost surely, 221161161706022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21161161706022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24743185084800).

21161161706022 is an abundant number, since it is smaller than the sum of its proper divisors (28325208463578).

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

21161161706022 is a wasteful number, since it uses less digits than its factorization.

21161161706022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28142 (or 28139 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 21161161706022 in words is "twenty-one trillion, one hundred sixty-one billion, one hundred sixty-one million, seven hundred six thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 479 958 1437 2874 4311 6227 8622 12329 12454 15313 18681 24658 30626 36987 37362 45939 56043 73974 91878 110961 112086 137817 160277 199069 221922 275634 320554 398138 480831 597207 961662 1194414 1442493 1791621 2884986 3583242 5905591 7334927 11811182 14669854 17716773 22004781 35433546 44009562 53150319 66014343 76772683 95354051 106300638 132028686 153545366 188793977 190708102 230318049 286062153 377587954 460636098 566381931 572124306 690954147 858186459 1132763862 1381908294 1699145793 1716372918 2454321701 3398291586 4908643402 7362965103 14725930206 22088895309 44177790618 90432314983 180864629966 271296944949 542593889898 813890834847 1175620094779 1627781669694 2351240189558 3526860284337 7053720568674 10580580853011 21161161706022