Search a number
-
+
98332927560 = 2334573194657
BaseRepresentation
bin101101110010100011…
…0010110011001001000
3100101210222202021210000
41123211012112121020
53102341212140220
6113101251523000
710050532044000
oct1334506263110
9311728667700
1098332927560
113878041298a
12170835b9460
13937132184a
144a8b8ab000
152857bdc390
hex16e5196648

98332927560 has 640 divisors, whose sum is σ = 405804960000. Its totient is φ = 21288572928.

The previous prime is 98332927549. The next prime is 98332927573. The reversal of 98332927560 is 6572923389.

It is a happy number.

98332927560 is a `hidden beast` number, since 9 + 8 + 33 + 29 + 27 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98332927497 and 98332927506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21112752 + ... + 21117408.

It is an arithmetic number, because the mean of its divisors is an integer number (634070250).

Almost surely, 298332927560 is an apocalyptic number.

98332927560 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 98332927560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202902480000).

98332927560 is an abundant number, since it is smaller than the sum of its proper divisors (307472032440).

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

98332927560 is a wasteful number, since it uses less digits than its factorization.

98332927560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 98332927560 in words is "ninety-eight billion, three hundred thirty-two million, nine hundred twenty-seven thousand, five hundred sixty".