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98149489280 = 2753173731297
BaseRepresentation
bin101101101101000101…
…0100101101010000000
3100101100012120122202122
41123122022211222000
53102002232124110
6113031140103412
710043143615343
oct1333212455200
9311305518678
1098149489280
1138696911aa7
1217032094b68
13934231599b
144a7139a45a
152846a55255
hex16da2a5a80

98149489280 has 128 divisors (see below), whose sum is σ = 236191816080. Its totient is φ = 39000932352.

The previous prime is 98149489201. The next prime is 98149489301. The reversal of 98149489280 is 8298494189.

98149489280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 53242793536 + 44906695744 = 230744^2 + 211912^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75673592 + ... + 75674888.

Almost surely, 298149489280 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 98149489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118095908040).

98149489280 is an abundant number, since it is smaller than the sum of its proper divisors (138042326800).

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

98149489280 is a wasteful number, since it uses less digits than its factorization.

98149489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 62.

The spelling of 98149489280 in words is "ninety-eight billion, one hundred forty-nine million, four hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 317 320 373 634 640 746 1268 1297 1492 1585 1865 2536 2594 2984 3170 3730 5072 5188 5968 6340 6485 7460 10144 10376 11936 12680 12970 14920 20288 20752 23872 25360 25940 29840 40576 41504 47744 50720 51880 59680 83008 101440 103760 118241 119360 166016 202880 207520 236482 238720 411149 415040 472964 483781 591205 822298 830080 945928 967562 1182410 1644596 1891856 1935124 2055745 2364820 2418905 3289192 3783712 3870248 4111490 4729640 4837810 6578384 7567424 7740496 8222980 9459280 9675620 13156768 15134848 15480992 16445960 18918560 19351240 26313536 30961984 32891920 37837120 38702480 52627072 61923968 65783840 75674240 77404960 131567680 153358577 154809920 263135360 306717154 309619840 613434308 766792885 1226868616 1533585770 2453737232 3067171540 4907474464 6134343080 9814948928 12268686160 19629897856 24537372320 49074744640 98149489280