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198840426465024 = 28321394099151471
BaseRepresentation
bin101101001101100000100100…
…111111001000011100000000
3222002000221220012110011010100
4231031200210333020130000
5202030300143133340044
61542522010400202400
756611514063020521
oct5515404477103400
9862027805404110
10198840426465024
11583a1829a86833
121a374734609400
1386c4758202cc6
143715cdc59a848
1517ec46852a869
hexb4d824fc8700

198840426465024 has 216 divisors, whose sum is σ = 577575156704000. Its totient is φ = 65786818775040.

The previous prime is 198840426464971. The next prime is 198840426465071. The reversal of 198840426465024 is 420564624048891.

It is a happy number.

198840426465024 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 40 + 42 + 6 + 46 + 502 + 4 = 666.

It is a congruent number.

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, 1312653609 + ... + 1312805079.

Almost surely, 2198840426465024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198840426465024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288787578352000).

198840426465024 is an abundant number, since it is smaller than the sum of its proper divisors (378734730238976).

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

198840426465024 is a wasteful number, since it uses less digits than its factorization.

198840426465024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155731 (or 155714 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 198840426465024 in words is "one hundred ninety-eight trillion, eight hundred forty billion, four hundred twenty-six million, four hundred sixty-five thousand, twenty-four".