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168882104358 = 233113114961553
BaseRepresentation
bin1001110101001000101…
…0000110100000100110
3121010220200110210121000
42131102022012200212
510231332304314413
6205330001334130
715126025126122
oct2352212064046
9533820423530
10168882104358
11656935aa680
1228892337346
1312c0547ba86
1482613da582
1545d662c073
hex2752286826

168882104358 has 128 divisors (see below), whose sum is σ = 425461248000. Its totient is φ = 49192358400.

The previous prime is 168882104329. The next prime is 168882104359. The reversal of 168882104358 is 853401288861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168882104359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2712910 + ... + 2774462.

It is an arithmetic number, because the mean of its divisors is an integer number (3323916000).

Almost surely, 2168882104358 is an apocalyptic number.

168882104358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168882104358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212730624000).

168882104358 is an abundant number, since it is smaller than the sum of its proper divisors (256579143642).

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

168882104358 is a wasteful number, since it uses less digits than its factorization.

168882104358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61755 (or 61749 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 168882104358 in words is "one hundred sixty-eight billion, eight hundred eighty-two million, one hundred four thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 149 186 198 279 297 298 341 447 558 594 682 837 894 1023 1341 1639 1674 2046 2682 3069 3278 4023 4619 4917 6138 8046 9207 9238 9834 13857 14751 18414 27714 29502 41571 44253 50809 61553 83142 88506 101618 123106 124713 152427 184659 249426 304854 369318 457281 553977 677083 914562 1107954 1354166 1371843 1661931 1908143 2031249 2743686 3323862 3816286 4062498 5724429 6093747 9171397 11448858 12187494 17173287 18281241 18342794 20989573 27514191 34346574 36562482 41979146 51519861 55028382 62968719 82542573 100885367 103039722 125937438 165085146 188906157 201770734 247627719 284313307 302656101 377812314 495255438 566718471 568626614 605312202 852939921 907968303 1133436942 1705879842 1815936606 2558819763 2723904909 3127446377 5117639526 5447809818 6254892754 7676459289 9382339131 15352918578 18764678262 28147017393 56294034786 84441052179 168882104358