Search a number
-
+
98611043328 = 2103472191277
BaseRepresentation
bin101101111010110101…
…1010001110000000000
3100102112101002000220000
41123311223101300000
53103423411341303
6113145024520000
710060450016100
oct1336553216000
9312471060800
1098611043328
11389033aa426
1217140780000
1393b6b296a5
144ab67c5200
152872326da3
hex16f5ad1c00

98611043328 has 660 divisors, whose sum is σ = 360860144040. Its totient is φ = 26670809088.

The previous prime is 98611043291. The next prime is 98611043329. The reversal of 98611043328 is 82334011689.

98611043328 is a `hidden beast` number, since 9 + 8 + 611 + 0 + 4 + 3 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98611043329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77220226 + ... + 77221502.

It is an arithmetic number, because the mean of its divisors is an integer number (546757794).

Almost surely, 298611043328 is an apocalyptic number.

98611043328 is a gapful number since it is divisible by the number (98) 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 98611043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180430072020).

98611043328 is an abundant number, since it is smaller than the sum of its proper divisors (262249100712).

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

98611043328 is a wasteful number, since it uses less digits than its factorization.

98611043328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 98611043328 in words is "ninety-eight billion, six hundred eleven million, forty-three thousand, three hundred twenty-eight".