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98166906880 = 21357342379
BaseRepresentation
bin101101101101100110…
…1000010000000000000
3100101101102100120012221
41123123031002000000
53102021212010010
6113033001300424
710043444640460
oct1333315020000
9311342316187
1098166906880
11386a5729109
1217037a94714
139345b03863
144a73811ba0
152848345dda
hex16db342000

98166906880 has 112 divisors (see below), whose sum is σ = 269242153920. Its totient is φ = 33657126912.

The previous prime is 98166906847. The next prime is 98166906881. The reversal of 98166906880 is 8860966189.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (98166906881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115531 + ... + 457909.

Almost surely, 298166906880 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 98166906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134621076960).

98166906880 is an abundant number, since it is smaller than the sum of its proper divisors (171075247040).

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

98166906880 is an equidigital number, since it uses as much as digits as its factorization.

98166906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342417 (or 342393 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The spelling of 98166906880 in words is "ninety-eight billion, one hundred sixty-six million, nine hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 17920 20480 28672 35840 40960 57344 71680 143360 286720 342379 684758 1369516 1711895 2396653 2739032 3423790 4793306 5478064 6847580 9586612 10956128 11983265 13695160 19173224 21912256 23966530 27390320 38346448 43824512 47933060 54780640 76692896 87649024 95866120 109561280 153385792 175298048 191732240 219122560 306771584 350596096 383464480 438245120 613543168 701192192 766928960 876490240 1227086336 1402384384 1533857920 1752980480 2454172672 2804768768 3067715840 3505960960 4908345344 6135431680 7011921920 9816690688 12270863360 14023843840 19633381376 24541726720 49083453440 98166906880