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99408868192 = 25234311512729
BaseRepresentation
bin101110010010100111…
…0101111001101100000
3100111120222022201212001
41130211032233031200
53112042132240232
6113400125013344
710116305303104
oct1344516571540
9314528281761
1099408868192
1139182795017
12173239b4254
1394b31ca4ca
144b50745904
1528bc3be6e7
hex17253af360

99408868192 has 96 divisors (see below), whose sum is σ = 209227898880. Its totient is φ = 46380364800.

The previous prime is 99408868171. The next prime is 99408868213. The reversal of 99408868192 is 29186880499.

It is an interprime number because it is at equal distance from previous prime (99408868171) and next prime (99408868213).

It is a super-3 number, since 3×994088681923 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36425484 + ... + 36428212.

It is an arithmetic number, because the mean of its divisors is an integer number (2179457280).

Almost surely, 299408868192 is an apocalyptic number.

99408868192 is a gapful number since it is divisible by the number (92) 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 99408868192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

99408868192 is an abundant number, since it is smaller than the sum of its proper divisors (109819030688).

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

99408868192 is a wasteful number, since it uses less digits than its factorization.

99408868192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 64.

The spelling of 99408868192 in words is "ninety-nine billion, four hundred eight million, eight hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 736 989 1151 1376 1978 2302 2729 3956 4604 5458 7912 9208 10916 15824 18416 21832 26473 31648 36832 43664 49493 52946 62767 87328 98986 105892 117347 125534 197972 211784 234694 251068 395944 423568 469388 502136 791888 847136 938776 1004272 1138339 1583776 1877552 2008544 2276678 2698981 3141079 3755104 4553356 5397962 6282158 9106712 10795924 12564316 18213424 21591848 25128632 36426848 43183696 50257264 72244817 86367392 100514528 135066397 144489634 270132794 288979268 540265588 577958536 1080531176 1155917072 2161062352 2311834144 3106527131 4322124704 6213054262 12426108524 24852217048 49704434096 99408868192