Search a number
-
+
198397298511360 = 29325133898232069
BaseRepresentation
bin101101000111000011111000…
…100000001000111000000000
3222000110121002212000201212100
4231013003320200020320000
5202001020131404330420
61541542243302230400
756534506002404334
oct5507037040107000
9860417085021770
10198397298511360
1158240904891523
121a302885a25400
138691a2877a970
1436dc6a26377c4
1517e0b8072e190
hexb470f8808e00

198397298511360 has 960 divisors, whose sum is σ = 743122543363200. Its totient is φ = 48628013727744.

The previous prime is 198397298511353. The next prime is 198397298511389. The reversal of 198397298511360 is 63115892793891.

198397298511360 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 9 + 72 + 9 + 8 + 511 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1983972985113602 (a number of 29 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95890428406 + ... + 95890430474.

It is an arithmetic number, because the mean of its divisors is an integer number (774085982670).

Almost surely, 2198397298511360 is an apocalyptic number.

198397298511360 is a gapful number since it is divisible by the number (10) 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 198397298511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371561271681600).

198397298511360 is an abundant number, since it is smaller than the sum of its proper divisors (544725244851840).

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

198397298511360 is a wasteful number, since it uses less digits than its factorization.

198397298511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 198397298511360 in words is "one hundred ninety-eight trillion, three hundred ninety-seven billion, two hundred ninety-eight million, five hundred eleven thousand, three hundred sixty".