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88385516142 = 237113112748593
BaseRepresentation
bin101001001010000101…
…1111111001001101110
322110010201221102121220
41102110023333021232
52422003143004032
6104334224204210
76246163330350
oct1222413771156
9273121842556
1088385516142
1134536357510
1215168169666
1384474b7aa1
1443c67170d0
15247476b12c
hex14942ff26e

88385516142 has 128 divisors (see below), whose sum is σ = 229295259648. Its totient is φ = 22041331200.

The previous prime is 88385516129. The next prime is 88385516179. The reversal of 88385516142 is 24161558388.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794598 + ... + 1843190.

It is an arithmetic number, because the mean of its divisors is an integer number (1791369216).

Almost surely, 288385516142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88385516142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114647629824).

88385516142 is an abundant number, since it is smaller than the sum of its proper divisors (140909743506).

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

88385516142 is a wasteful number, since it uses less digits than its factorization.

88385516142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48774.

The product of its digits is 1843200, while the sum is 51.

The spelling of 88385516142 in words is "eighty-eight billion, three hundred eighty-five million, five hundred sixteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 127 154 186 217 231 254 341 381 434 462 651 682 762 889 1023 1302 1397 1778 2046 2387 2667 2794 3937 4191 4774 5334 7161 7874 8382 9779 11811 14322 19558 23622 27559 29337 43307 48593 55118 58674 82677 86614 97186 129921 145779 165354 259842 291558 303149 340151 534523 606298 680302 909447 1020453 1069046 1506383 1603569 1818894 2040906 3012766 3207138 3741661 4519149 6171311 7483322 9038298 10544681 11224983 12342622 16570213 18513933 21089362 22449966 31634043 33140426 37027866 43199177 49710639 63268086 67884421 86398354 99421278 115991491 129597531 135768842 191310641 203653263 231982982 259195062 347974473 382621282 407306526 475190947 573931923 695948946 950381894 1147863846 1339174487 1425572841 2104417051 2678348974 2851145682 4017523461 4208834102 6313251153 8035046922 12626502306 14730919357 29461838714 44192758071 88385516142