Search a number
-
+
98418032640 = 218365103
BaseRepresentation
bin101101110101000101…
…1000000000000000000
3100102000220220002000000
41123222023000000000
53103030004021030
6113113532000000
710052614321524
oct1335213000000
9312026802000
1098418032640
1138814460664
12170a8000000
139385b4b795
144a98d01d84
1528603ed860
hex16ea2c0000

98418032640 has 532 divisors, whose sum is σ = 357580511184. Its totient is φ = 25990004736.

The previous prime is 98418032611. The next prime is 98418032827. The reversal of 98418032640 is 4623081489.

It is a happy number.

It is a super-2 number, since 2×984180326402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 955514829 + ... + 955514931.

Almost surely, 298418032640 is an apocalyptic number.

98418032640 is a gapful number since it is divisible by the number (90) 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 98418032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178790255592).

98418032640 is an abundant number, since it is smaller than the sum of its proper divisors (259162478544).

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

98418032640 is an frugal number, since it uses more digits than its factorization.

98418032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 98418032640 in words is "ninety-eight billion, four hundred eighteen million, thirty-two thousand, six hundred forty".