Search a number
-
+
98794014880 = 255111721115649
BaseRepresentation
bin101110000000010010…
…1010000100010100000
3100110000010100221200011
41130000211100202200
53104312231434010
6113215122334304
710065131161621
oct1340045204240
9313003327604
1098794014880
1138997711690
1217191aba394
139415a00c92
144ad2c13a48
15288341aa8a
hex17009508a0

98794014880 has 192 divisors, whose sum is σ = 270891734400. Its totient is φ = 33649459200.

The previous prime is 98794014853. The next prime is 98794014889. The reversal of 98794014880 is 8841049789.

It is a super-2 number, since 2×987940148802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98794014889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6305296 + ... + 6320944.

It is an arithmetic number, because the mean of its divisors is an integer number (1410894450).

Almost surely, 298794014880 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 98794014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135445867200).

98794014880 is an abundant number, since it is smaller than the sum of its proper divisors (172097719520).

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

98794014880 is a wasteful number, since it uses less digits than its factorization.

98794014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903 (or 15895 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 98794014880 in words is "ninety-eight billion, seven hundred ninety-four million, fourteen thousand, eight hundred eighty".