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88542349168 = 24713372815849
BaseRepresentation
bin101001001110110001…
…0010000011101110000
322110112200001101002111
41102131202100131300
52422313320133133
6104401545455104
76253106356450
oct1223542203560
9273480041074
1088542349168
1134606936489
12151b07a1494
138470b39bb0
1443dd49dd60
1524833ea1cd
hex149d890770

88542349168 has 160 divisors (see below), whose sum is σ = 217654819200. Its totient is φ = 33953955840.

The previous prime is 88542349163. The next prime is 88542349183. The reversal of 88542349168 is 86194324588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88542349163) 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, 15135108 + ... + 15140956.

It is an arithmetic number, because the mean of its divisors is an integer number (1360342620).

Almost surely, 288542349168 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 88542349168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108827409600).

88542349168 is an abundant number, since it is smaller than the sum of its proper divisors (129112470032).

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

88542349168 is a wasteful number, since it uses less digits than its factorization.

88542349168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6189 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 58.

The spelling of 88542349168 in words is "eighty-eight billion, five hundred forty-two million, three hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 281 296 364 481 518 562 592 728 962 1036 1124 1456 1924 1967 2072 2248 3367 3653 3848 3934 4144 4496 5849 6734 7306 7696 7868 10397 11698 13468 14612 15736 20794 23396 25571 26936 29224 31472 40943 41588 46792 51142 53872 58448 72779 76037 81886 83176 93584 102284 135161 145558 152074 163772 166352 204568 216413 270322 291116 304148 327544 409136 432826 532259 540644 582232 608296 655088 865652 946127 1064518 1081288 1164464 1216592 1514891 1643569 1731304 1892254 2129036 2162576 2813369 3029782 3287138 3462608 3784508 4258072 5626738 6059564 6574276 7569016 8516144 11253476 11504983 12119128 13148552 15138032 19693583 21366397 22506952 23009966 24238256 26297104 39387166 42732794 45013904 46019932 60812053 78774332 85465588 92039864 121624106 149564779 157548664 170931176 184079728 243248212 299129558 315097328 341862352 425684371 486496424 598259116 790556689 851368742 972992848 1196518232 1581113378 1702737484 2393036464 3162226756 3405474968 5533896823 6324453512 6810949936 11067793646 12648907024 22135587292 44271174584 88542349168