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89899448364 = 2232112341923557
BaseRepresentation
bin101001110111001101…
…1001011100000101100
322121001020200011012200
41103232123023200230
52433103224321424
6105144345101500
76331535463045
oct1235633134054
9277036604180
1089899448364
1135142993170
121550b187890
13862904767b
1444cb8058cc
1525126188c9
hex14ee6cb82c

89899448364 has 144 divisors (see below), whose sum is σ = 259311386880. Its totient is φ = 25994517120.

The previous prime is 89899448291. The next prime is 89899448413. The reversal of 89899448364 is 46384499898.

89899448364 is a `hidden beast` number, since 8 + 9 + 89 + 9 + 4 + 483 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89899448292 and 89899448301.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3804474 + ... + 3828030.

It is an arithmetic number, because the mean of its divisors is an integer number (1800773520).

Almost surely, 289899448364 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 89899448364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129655693440).

89899448364 is an abundant number, since it is smaller than the sum of its proper divisors (169411938516).

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

89899448364 is a wasteful number, since it uses less digits than its factorization.

89899448364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24020 (or 24015 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 89899448364 in words is "eighty-nine billion, eight hundred ninety-nine million, four hundred forty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 419 506 759 828 838 1012 1257 1518 1676 2277 2514 3036 3771 4554 4609 5028 7542 9108 9218 9637 13827 15084 18436 19274 23557 27654 28911 38548 41481 47114 55308 57822 70671 82962 86733 94228 106007 115644 141342 165924 173466 212013 212014 259127 282684 318021 346932 424026 424028 518254 541811 636042 777381 848052 954063 1036508 1083622 1272084 1554762 1625433 1908126 2167244 2332143 3109524 3250866 3816252 4664286 4876299 5959921 6501732 9328572 9752598 9870383 11919842 17879763 19505196 19740766 23839684 29611149 35759526 39481532 53639289 59222298 71519052 88833447 107278578 108574213 118444596 177666894 214557156 217148426 227018809 325722639 355333788 434296852 454037618 651445278 681056427 908075236 977167917 1302890556 1362112854 1954335834 2043169281 2497206899 2724225708 3908671668 4086338562 4994413798 7491620697 8172677124 9988827596 14983241394 22474862091 29966482788 44949724182 89899448364