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198242360960 = 27579724703
BaseRepresentation
bin1011100010100000101…
…0100101111010000000
3200221200211222101000012
42320220022211322000
511222000021022320
6231023221444052
720215426156640
oct2705012457200
9627624871005
10198242360960
117708a70aa56
1232506b70628
1315904141487
1498488b4520
155253ed74c5
hex2e282a5e80

198242360960 has 192 divisors, whose sum is σ = 547384158720. Its totient is φ = 67253796864.

The previous prime is 198242360951. The next prime is 198242360993. The reversal of 198242360960 is 69063242891.

It is a junction number, because it is equal to n+sod(n) for n = 198242360899 and 198242360908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42149969 + ... + 42154671.

It is an arithmetic number, because the mean of its divisors is an integer number (2850959160).

Almost surely, 2198242360960 is an apocalyptic number.

198242360960 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 198242360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273692079360).

198242360960 is an abundant number, since it is smaller than the sum of its proper divisors (349141797760).

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

198242360960 is an frugal number, since it uses more digits than its factorization.

198242360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 198242360960 in words is "one hundred ninety-eight billion, two hundred forty-two million, three hundred sixty thousand, nine hundred sixty".