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89243790048 = 25327396711159
BaseRepresentation
bin101001100011101011…
…0000010101011100000
322112100112221021002100
41103013112002223200
52430232402240143
6104555324050400
76306354461550
oct1230726025340
9275315837070
1089243790048
113493687a396
1215367693a00
13855326207a
1444686d1160
1524c4ca46d3
hex14c7582ae0

89243790048 has 144 divisors (see below), whose sum is σ = 290141429760. Its totient is φ = 25489513728.

The previous prime is 89243790043. The next prime is 89243790071. The reversal of 89243790048 is 84009734298.

89243790048 is a `hidden beast` number, since 89 + 2 + 437 + 90 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 89243789976 and 89243790003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89243790043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7991893 + ... + 8003051.

It is an arithmetic number, because the mean of its divisors is an integer number (2014871040).

Almost surely, 289243790048 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 89243790048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145070714880).

89243790048 is an abundant number, since it is smaller than the sum of its proper divisors (200897639712).

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

89243790048 is a wasteful number, since it uses less digits than its factorization.

89243790048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 89243790048 in words is "eighty-nine billion, two hundred forty-three million, seven hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3967 7934 11159 11901 15868 22318 23802 27769 31736 33477 35703 44636 47604 55538 63472 66954 71406 78113 83307 89272 95208 100431 111076 126944 133908 142812 156226 166614 178544 190416 200862 222152 234339 249921 267816 285624 312452 333228 357088 380832 401724 444304 468678 499842 535632 571248 624904 666456 703017 803448 888608 937356 999684 1071264 1142496 1249808 1332912 1406034 1606896 1874712 1999368 2499616 2665824 2812068 3213792 3749424 3998736 5624136 7498848 7997472 11248272 22496544 44267753 88535506 132803259 177071012 265606518 309874271 354142024 398409777 531213036 619748542 708284048 796819554 929622813 1062426072 1239497084 1416568096 1593639108 1859245626 2124852144 2478994168 2788868439 3187278216 3718491252 4249704288 4957988336 5577736878 6374556432 7436982504 9915976672 11155473756 12749112864 14873965008 22310947512 29747930016 44621895024 89243790048