Search a number
-
+
98036326080 = 263357112343149
BaseRepresentation
bin101101101001101101…
…0111001111011000000
3100101001022122101001000
41123103122321323000
53101234244413310
6113012014412000
710040301010440
oct1332332717300
9311038571030
1098036326080
1138638a4a8a0
1217000201000
139324a43904
144a60340120
15283bb504c0
hex16d36b9ec0

98036326080 has 1792 divisors, whose sum is σ = 463491072000. Its totient is φ = 18904596480.

The previous prime is 98036326079. The next prime is 98036326081. The reversal of 98036326080 is 8062363089.

98036326080 is a `hidden beast` number, since 9 + 8 + 0 + 3 + 6 + 32 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (98036326079) and next prime (98036326081).

It is a super-2 number, since 2×980363260802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (98036326081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 657961846 + ... + 657961994.

Almost surely, 298036326080 is an apocalyptic number.

98036326080 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 98036326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231745536000).

98036326080 is an abundant number, since it is smaller than the sum of its proper divisors (365454745920).

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

98036326080 is a wasteful number, since it uses less digits than its factorization.

98036326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 98036326080 in words is "ninety-eight billion, thirty-six million, three hundred twenty-six thousand, eighty".