Search a number
-
+
198659859840 = 27325133677229
BaseRepresentation
bin1011100100000100001…
…1001110010110000000
3200222202221120111210200
42321001003032112000
511223323411003330
6231132454125200
720231655642561
oct2710103162600
9628687514720
10198659859840
1177284348052
1232602950800
131596c79b930
149888112168
15527a9a5a60
hex2e410ce580

198659859840 has 384 divisors, whose sum is σ = 740881814400. Its totient is φ = 48760897536.

The previous prime is 198659859823. The next prime is 198659859851. The reversal of 198659859840 is 48958956891.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27477346 + ... + 27484574.

It is an arithmetic number, because the mean of its divisors is an integer number (1929379725).

Almost surely, 2198659859840 is an apocalyptic number.

198659859840 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 198659859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370440907200).

198659859840 is an abundant number, since it is smaller than the sum of its proper divisors (542221954560).

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

198659859840 is a wasteful number, since it uses less digits than its factorization.

198659859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 72.

The spelling of 198659859840 in words is "one hundred ninety-eight billion, six hundred fifty-nine million, eight hundred fifty-nine thousand, eight hundred forty".