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198494487797760 = 21332572117091409
BaseRepresentation
bin101101001000011110011001…
…011011110110000000000000
3222000210212222010211000220100
4231020132121123312000000
5202004113202334012020
61542055035302042400
756544516306613500
oct5510363133660000
9860725863730810
10198494487797760
1158279048691920
121a31968a419400
13869ac46b7b85b
143703282285a00
1517e346cd14a90
hexb487996f6000

198494487797760 has 2016 divisors, whose sum is σ = 875027288397600. Its totient is φ = 41158201835520.

The previous prime is 198494487797741. The next prime is 198494487797761. The reversal of 198494487797760 is 67797784494891.

198494487797760 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 9 + 448 + 7 + 7 + 97 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1984944877977602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198494487797761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140876143936 + ... + 140876145344.

Almost surely, 2198494487797760 is an apocalyptic number.

198494487797760 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 198494487797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437513644198800).

198494487797760 is an abundant number, since it is smaller than the sum of its proper divisors (676532800599840).

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

198494487797760 is a wasteful number, since it uses less digits than its factorization.

198494487797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 43016085504, while the sum is 90.

The spelling of 198494487797760 in words is "one hundred ninety-eight trillion, four hundred ninety-four billion, four hundred eighty-seven million, seven hundred ninety-seven thousand, seven hundred sixty".