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89356793680 = 24571131146643
BaseRepresentation
bin101001100111000010…
…1000111011101010000
322112122102120102221001
41103032011013131100
52431000314344210
6105014442111344
76312226133320
oct1231605073520
9275572512831
1089356793680
1134994642720
12153994ab554
1385707a961b
144479709280
1524ceb7703a
hex14ce147750

89356793680 has 160 divisors (see below), whose sum is σ = 259857082368. Its totient is φ = 27761318400.

The previous prime is 89356793651. The next prime is 89356793741. The reversal of 89356793680 is 8639765398.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892439 + ... + 1939081.

Almost surely, 289356793680 is an apocalyptic number.

89356793680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89356793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129928541184).

89356793680 is an abundant number, since it is smaller than the sum of its proper divisors (170500288688).

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

89356793680 is a wasteful number, since it uses less digits than its factorization.

89356793680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46985 (or 46979 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 89356793680 in words is "eighty-nine billion, three hundred fifty-six million, seven hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 311 385 440 560 616 622 770 880 1232 1244 1540 1555 2177 2488 3080 3110 3421 4354 4976 6160 6220 6842 8708 10885 12440 13684 17105 17416 21770 23947 24880 27368 34210 34832 43540 46643 47894 54736 68420 87080 93286 95788 119735 136840 174160 186572 191576 233215 239470 273680 326501 373144 383152 466430 478940 513073 653002 746288 932860 957880 1026146 1306004 1632505 1865720 1915760 2052292 2565365 2612008 3265010 3591511 3731440 4104584 5130730 5224016 6530020 7183022 8209168 10261460 13060040 14366044 14505973 17957555 20522920 26120080 28732088 29011946 35915110 41045840 57464176 58023892 71830220 72529865 101541811 116047784 143660440 145059730 159565703 203083622 232095568 287320880 290119460 319131406 406167244 507709055 580238920 638262812 797828515 812334488 1015418110 1116959921 1160477840 1276525624 1595657030 1624668976 2030836220 2233919842 2553051248 3191314060 4061672440 4467839684 5584799605 6382628120 8123344880 8935679368 11169599210 12765256240 17871358736 22339198420 44678396840 89356793680