Search a number
-
+
98132120208 = 24321921887737
BaseRepresentation
bin101101101100100100…
…0010101001010010000
3100101021222220012212200
41123121020111022100
53101433310321313
6113025315523200
710042543154553
oct1333110251220
9311258805780
1098132120208
11386880293a1
12170282b9500
13933b843c25
144a6cd5869a
152845273b73
hex16d9215290

98132120208 has 90 divisors (see below), whose sum is σ = 289848955734. Its totient is φ = 30989074176.

The previous prime is 98132120171. The next prime is 98132120209. The reversal of 98132120208 is 80202123189.

It can be written as a sum of positive squares in only one way, i.e., 49823596944 + 48308523264 = 223212^2 + 219792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98132120209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 891885 + ... + 995852.

Almost surely, 298132120208 is an apocalyptic number.

It is an amenable number.

98132120208 is an abundant number, since it is smaller than the sum of its proper divisors (191716835526).

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

98132120208 is a wasteful number, since it uses less digits than its factorization.

98132120208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887789 (or 1887761 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 98132120208 in words is "ninety-eight billion, one hundred thirty-two million, one hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 17328 25992 51984 1887737 3775474 5663211 7550948 11326422 15101896 16989633 22652844 30203792 33979266 35867003 45305688 67958532 71734006 90611376 107601009 135917064 143468012 215202018 271834128 286936024 322803027 430404036 573872048 645606054 681473057 860808072 1291212108 1362946114 1721616144 2044419171 2582424216 2725892228 4088838342 5164848432 5451784456 6133257513 8177676684 10903568912 12266515026 16355353368 24533030052 32710706736 49066060104 98132120208