Search a number
-
+
98944661056 = 26294179109151
BaseRepresentation
bin101110000100110001…
…1111011011001000000
3100110101121211120101011
41130021203323121000
53110114313123211
6113242103250304
710101640512403
oct1341143733100
9313347746334
1098944661056
1138a6475535a
1217214449994
13943ac98027
144b08c29d3a
152891776921
hex17098fb640

98944661056 has 224 divisors, whose sum is σ = 214042752000. Its totient is φ = 45287424000.

The previous prime is 98944661033. The next prime is 98944661059. The reversal of 98944661056 is 65016644989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (98944661059) 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 31 ways as a sum of consecutive naturals, for example, 655262581 + ... + 655262731.

It is an arithmetic number, because the mean of its divisors is an integer number (955548000).

Almost surely, 298944661056 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 98944661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107021376000).

98944661056 is an abundant number, since it is smaller than the sum of its proper divisors (115098090944).

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

98944661056 is a wasteful number, since it uses less digits than its factorization.

98944661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 98944661056 in words is "ninety-eight billion, nine hundred forty-four million, six hundred sixty-one thousand, fifty-six".