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22542406134556 = 22711179239465989
BaseRepresentation
bin1010010000000100100000…
…00111000010101100011100
32221211000220001010220110111
411020002100013002230130
510423313321432301211
6115535501033015404
74514430560423560
oct510022007025434
987730801126414
1022542406134556
1172011a9646910
122640a52254564
13c769803a1389
1457d0b5cb76a0
152915a6817421
hex1480901c2b1c

22542406134556 has 96 divisors (see below), whose sum is σ = 52082322969600. Its totient is φ = 8265210516480.

The previous prime is 22542406134517. The next prime is 22542406134557. The reversal of 22542406134556 is 65543160424522.

It is a super-3 number, since 3×225424061345563 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22542406134557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48142410 + ... + 48608398.

It is an arithmetic number, because the mean of its divisors is an integer number (542524197600).

Almost surely, 222542406134556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22542406134556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26041161484800).

22542406134556 is an abundant number, since it is smaller than the sum of its proper divisors (29539916835044).

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

22542406134556 is a wasteful number, since it uses less digits than its factorization.

22542406134556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475267 (or 475265 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 49.

The spelling of 22542406134556 in words is "twenty-two trillion, five hundred forty-two billion, four hundred six million, one hundred thirty-four thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 9239 18478 36956 64673 101629 129346 157063 203258 258692 314126 406516 465989 628252 711403 931978 1099441 1422806 1727693 1863956 2198882 2845612 3261923 3455386 4397764 5125879 6523846 6910772 7921813 10251758 12093851 13047692 15843626 20503516 24187702 31687252 35881153 48375404 55452691 71762306 87139943 110905382 143524612 174279886 221810764 348559772 609979601 1219959202 2439918404 4305272371 8610544742 17221089484 30136906597 47357996081 60273813194 73189630307 94715992162 120547626388 146379260614 189431984324 292758521228 331505972567 512327412149 663011945134 805085933377 1024654824298 1326023890268 1610171866754 2049309648596 3220343733508 5635601533639 11271203067278 22542406134556