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89138662880 = 255432367821
BaseRepresentation
bin101001100000100010…
…1000000110111100000
322112002020010020201112
41103001011000313200
52430023444203010
6104541050522452
76303640063421
oct1230105006740
9275066106645
1089138662880
11348924a6833
1215338436428
138537544947
144458767648
1524ba93aa05
hex14c1140de0

89138662880 has 144 divisors (see below), whose sum is σ = 216452222784. Its totient is φ = 34689070080.

The previous prime is 89138662853. The next prime is 89138662883. The reversal of 89138662880 is 8826683198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89138662883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108572870 + ... + 108573690.

It is an arithmetic number, because the mean of its divisors is an integer number (1503140436).

Almost surely, 289138662880 is an apocalyptic number.

89138662880 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 89138662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108226111392).

89138662880 is an abundant number, since it is smaller than the sum of its proper divisors (127313559904).

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

89138662880 is a wasteful number, since it uses less digits than its factorization.

89138662880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 59.

The spelling of 89138662880 in words is "eighty-nine billion, one hundred thirty-eight million, six hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 367 430 688 734 821 860 1376 1468 1642 1720 1835 1849 2936 3284 3440 3670 3698 4105 5872 6568 6880 7340 7396 8210 9245 11744 13136 14680 14792 15781 16420 18490 26272 29360 29584 31562 32840 35303 36980 58720 59168 63124 65680 70606 73960 78905 126248 131360 141212 147920 157810 176515 252496 282424 295840 301307 315620 353030 504992 564848 602614 631240 678583 706060 1129696 1205228 1262480 1357166 1412120 1506535 1518029 2410456 2524960 2714332 2824240 3013070 3036058 3392915 4820912 5428664 5648480 6026140 6072116 6785830 7590145 9641824 10857328 12052280 12144232 12956201 13571660 15180290 21714656 24104560 24288464 25912402 27143320 30360580 48209120 48576928 51824804 54286640 60721160 64781005 103649608 108573280 121442320 129562010 207299216 242884640 259124020 414598432 518248040 557116643 1036496080 1114233286 2072992160 2228466572 2785583215 4456933144 5571166430 8913866288 11142332860 17827732576 22284665720 44569331440 89138662880