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89168440788 = 2235726474951
BaseRepresentation
bin101001100001011011…
…0100110110111010100
322112011022011010100000
41103002312212313110
52430104110101123
6104544033051300
76304451145450
oct1230266466724
9275138133300
1089168440788
11348a8295379
12153463b6b30
13854076c7cb
14445c6b9660
1524bd36db43
hex14c2da6dd4

89168440788 has 144 divisors (see below), whose sum is σ = 267293272064. Its totient is φ = 25461928800.

The previous prime is 89168440771. The next prime is 89168440811. The reversal of 89168440788 is 88704486198.

89168440788 is a `hidden beast` number, since 8 + 91 + 68 + 4 + 407 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18007713 + ... + 18012663.

Almost surely, 289168440788 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 89168440788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133646636032).

89168440788 is an abundant number, since it is smaller than the sum of its proper divisors (178124831276).

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

89168440788 is a wasteful number, since it uses less digits than its factorization.

89168440788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 89168440788 in words is "eighty-nine billion, one hundred sixty-eight million, four hundred forty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 2647 3402 4951 5294 6804 7941 9902 10588 14853 15882 18529 19804 23823 29706 31764 34657 37058 44559 47646 55587 59412 69314 71469 74116 89118 95292 103971 111174 133677 138628 142938 166761 178236 207942 214407 222348 267354 285876 311913 333522 401031 415884 428814 500283 534708 623826 643221 667044 802062 857628 935739 1000566 1203093 1247652 1286442 1500849 1604124 1871478 2001132 2406186 2572884 2807217 3001698 3742956 4502547 4812372 5614434 6003396 8421651 9005094 11228868 13105297 16843302 18010188 26210594 33686604 39315891 52421188 78631782 91737079 117947673 157263564 183474158 235895346 275211237 353843019 366948316 471790692 550422474 707686038 825633711 1061529057 1100844948 1415372076 1651267422 2123058114 2476901133 3184587171 3302534844 4246116228 4953802266 6369174342 7430703399 9907604532 12738348684 14861406798 22292110197 29722813596 44584220394 89168440788