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89928948330 = 23451353161137
BaseRepresentation
bin101001111000000101…
…1101101101001101010
322121010022011220120000
41103300023231221222
52433133302321310
6105151321243430
76332344306554
oct1236013555152
9277108156500
1089928948330
1135158601a01
1215519033576
1386321a5b80
1444d16c44d4
152514ee44c0
hex14f02eda6a

89928948330 has 160 divisors (see below), whose sum is σ = 265324674384. Its totient is φ = 21718554624.

The previous prime is 89928948271. The next prime is 89928948331. The reversal of 89928948330 is 3384982998.

It can be written as a sum of positive squares in 8 ways, for example, as 56612112489 + 33316835841 = 237933^2 + 182529^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (89928948331) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 477522 + ... + 638658.

Almost surely, 289928948330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89928948330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132662337192).

89928948330 is an abundant number, since it is smaller than the sum of its proper divisors (175395726054).

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

89928948330 is a wasteful number, since it uses less digits than its factorization.

89928948330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161222 (or 161213 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 89928948330 in words is "eighty-nine billion, nine hundred twenty-eight million, nine hundred forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 53 54 65 78 81 90 106 117 130 135 159 162 195 234 265 270 318 351 390 405 477 530 585 689 702 795 810 954 1053 1170 1378 1431 1590 1755 2067 2106 2385 2862 3445 3510 4134 4293 4770 5265 6201 6890 7155 8586 10335 10530 12402 14310 18603 20670 21465 31005 37206 42930 55809 62010 93015 111618 161137 186030 279045 322274 483411 558090 805685 966822 1450233 1611370 2094781 2417055 2900466 4189562 4350699 4834110 6284343 7251165 8540261 8701398 10473905 12568686 13052097 14502330 17080522 18853029 20947810 21753495 25620783 26104194 31421715 37706058 42701305 43506990 51241566 56559087 62843430 65260485 76862349 85402610 94265145 111023393 113118174 128103915 130520970 153724698 169677261 188530290 222046786 230587047 256207830 282795435 333070179 339354522 384311745 461174094 555116965 565590870 666140358 691761141 768623490 848386305 999210537 1110233930 1152935235 1383522282 1665350895 1696772610 1998421074 2305870470 2997631611 3330701790 3458805705 4996052685 5995263222 6917611410 8992894833 9992105370 14988158055 17985789666 29976316110 44964474165 89928948330