Search a number
-
+
98509969404 = 2232711235329153
BaseRepresentation
bin101101110111110100…
…1101101011111111100
3100102021022212221112100
41123233221231133330
53103222023010104
6113131014305100
710055111631660
oct1335751553774
9312238787470
1098509969404
1138861345060
1217112958190
13939bbcb132
144aa71d48a0
15286850e139
hex16efa6d7fc

98509969404 has 288 divisors, whose sum is σ = 330077389824. Its totient is φ = 24011919360.

The previous prime is 98509969367. The next prime is 98509969429. The reversal of 98509969404 is 40496990589.

98509969404 is a `hidden beast` number, since 9 + 85 + 0 + 99 + 69 + 404 = 666.

It is a super-3 number, since 3×985099694043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3364492 + ... + 3393644.

It is an arithmetic number, because the mean of its divisors is an integer number (1146102048).

Almost surely, 298509969404 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 98509969404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165038694912).

98509969404 is an abundant number, since it is smaller than the sum of its proper divisors (231567420420).

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

98509969404 is a wasteful number, since it uses less digits than its factorization.

98509969404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29257 (or 29252 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 98509969404 in words is "ninety-eight billion, five hundred nine million, nine hundred sixty-nine thousand, four hundred four".