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198786896000000 = 21056711317509
BaseRepresentation
bin101101001100101110101110…
…010100100111010000000000
3222001211211201120102202221122
4231030232232110213100000
5202023411030334000000
61542441234520411412
756604610411412030
oct5514565624472000
9861754646382848
10198786896000000
115838105a4790a0
121a366295316b68
1386bc6a6bbb129
1437134a101b8c0
1517ead83c5c085
hexb4cbae527400

198786896000000 has 1232 divisors, whose sum is σ = 622459144920960. Its totient is φ = 61642752000000.

The previous prime is 198786895999919. The next prime is 198786896000029. The reversal of 198786896000000 is 698687891.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 390543999746 + ... + 390544000254.

Almost surely, 2198786896000000 is an apocalyptic number.

198786896000000 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 198786896000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311229572460480).

198786896000000 is an abundant number, since it is smaller than the sum of its proper divisors (423672248920960).

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

198786896000000 is an frugal number, since it uses more digits than its factorization.

198786896000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 62.

The spelling of 198786896000000 in words is "one hundred ninety-eight trillion, seven hundred eighty-six billion, eight hundred ninety-six million", and thus it is an aban number.