Search a number
-
+
98686589904 = 243273110632971
BaseRepresentation
bin101101111101000101…
…1011101101111010000
3100102201122020012022100
41123322023131233100
53104102231334104
6113200324040400
710062355113360
oct1337213355720
9312648205270
1098686589904
1138942009711
1217161b33100
1393c968a9c6
144ac284c9a0
152878c9b139
hex16fa2ddbd0

98686589904 has 240 divisors, whose sum is σ = 326238674944. Its totient is φ = 27251769600.

The previous prime is 98686589899. The next prime is 98686589917. The reversal of 98686589904 is 40998568689.

It is a super-3 number, since 3×986865899043 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33215139 + ... + 33218109.

Almost surely, 298686589904 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 98686589904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163119337472).

98686589904 is an abundant number, since it is smaller than the sum of its proper divisors (227552085040).

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

98686589904 is a wasteful number, since it uses less digits than its factorization.

98686589904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 98686589904 in words is "ninety-eight billion, six hundred eighty-six million, five hundred eighty-nine thousand, nine hundred four".