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89889034224 = 243111074673407
BaseRepresentation
bin101001110110111001…
…1011100111111110000
322121000112002001200210
41103231303130333300
52433043043043344
6105143333544120
76331351120113
oct1235563347760
9277015061623
1089889034224
113513801a940
12155077a5040
138626b3c462
1444ca29457a
15251175cdb9
hex14edcdcff0

89889034224 has 160 divisors (see below), whose sum is σ = 256313880576. Its totient is φ = 26918844160.

The previous prime is 89889034223. The next prime is 89889034237. The reversal of 89889034224 is 42243098898.

It is a Cunningham number, because it is equal to 2998152-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89889034223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26381929 + ... + 26385335.

Almost surely, 289889034224 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 89889034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128156940288).

89889034224 is an abundant number, since it is smaller than the sum of its proper divisors (166424846352).

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

89889034224 is a wasteful number, since it uses less digits than its factorization.

89889034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 89889034224 in words is "eighty-nine billion, eight hundred eighty-nine million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 467 528 642 856 934 1177 1284 1401 1712 1868 2354 2568 2802 3407 3531 3736 4708 5136 5137 5604 6814 7062 7472 9416 10221 10274 11208 13628 14124 15411 18832 20442 20548 22416 27256 28248 30822 37477 40884 41096 49969 54512 56496 61644 74954 81768 82192 99938 112431 123288 149907 149908 163536 199876 224862 246576 299814 299816 364549 399752 449724 549659 599628 599632 729098 799504 899448 1093647 1099318 1199256 1458196 1591069 1648977 1798896 2187294 2198636 2398512 2916392 3182138 3297954 4010039 4374588 4397272 4773207 5832784 6364276 6595908 8020078 8749176 8794544 9546414 12030117 12728552 13191816 16040156 17498352 17501759 19092828 24060234 25457104 26383632 32080312 35003518 38185656 48120468 52505277 64160624 70007036 76371312 96240936 105010554 140014072 170244383 192481872 210021108 280028144 340488766 420042216 510733149 680977532 840084432 1021466298 1361955064 1872688213 2042932596 2723910128 3745376426 4085865192 5618064639 7490752852 8171730384 11236129278 14981505704 22472258556 29963011408 44944517112 89889034224