Search a number
-
+
198346660126560 = 2533511177122915101
BaseRepresentation
bin101101000110010100101110…
…001110000001111101100000
3222000021202101202222020221000
4231012110232032001331200
5201444202424443022220
61541503110414032000
756531034066262401
oct5506245616017540
9860252352866830
10198346660126560
1158221389833530
121a2b4ab31a8600
13868a018692a6a
1436da05b20b9a8
1517de6b9cd8390
hexb4652e381f60

198346660126560 has 1536 divisors, whose sum is σ = 816771058790400. Its totient is φ = 44420382720000.

The previous prime is 198346660126463. The next prime is 198346660126567. The reversal of 198346660126560 is 65621066643891.

It is a super-2 number, since 2×1983466601265602 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198346660126567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13134663010 + ... + 13134678110.

It is an arithmetic number, because the mean of its divisors is an integer number (531751991400).

Almost surely, 2198346660126560 is an apocalyptic number.

198346660126560 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 198346660126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408385529395200).

198346660126560 is an abundant number, since it is smaller than the sum of its proper divisors (618424398663840).

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

198346660126560 is a wasteful number, since it uses less digits than its factorization.

198346660126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15453 (or 15439 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 198346660126560 in words is "one hundred ninety-eight trillion, three hundred forty-six billion, six hundred sixty million, one hundred twenty-six thousand, five hundred sixty".