Search a number
-
+
98940459520 = 295747791487
BaseRepresentation
bin101110000100101001…
…1111001101000000000
3100110101022221002221201
41130021103321220000
53110112224201040
6113241433230544
710101560013130
oct1341123715000
9313338832851
1098940459520
1138a62345711
1217212b62454
13943a156806
144b08454ac0
1528911e6a9a
hex17094f9a00

98940459520 has 320 divisors, whose sum is σ = 280576327680. Its totient is φ = 32758382592.

The previous prime is 98940459509. The next prime is 98940459523. The reversal of 98940459520 is 2595404989.

98940459520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (98940459523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66536217 + ... + 66537703.

It is an arithmetic number, because the mean of its divisors is an integer number (876801024).

Almost surely, 298940459520 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 98940459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140288163840).

98940459520 is an abundant number, since it is smaller than the sum of its proper divisors (181635868160).

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

98940459520 is a wasteful number, since it uses less digits than its factorization.

98940459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 98940459520 in words is "ninety-eight billion, nine hundred forty million, four hundred fifty-nine thousand, five hundred twenty".