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424545545400 = 233524197177917
BaseRepresentation
bin1100010110110001110…
…00101110110010111000
31111120211022100021021220
412023120320232302320
523423432124423100
6523011124232040
742446430410604
oct6133070566270
91446738307256
10424545545400
1115405998aa09
126a34353b620
133105a9783c2
141679604c504
15b09b74caa0
hex62d8e2ecb8

424545545400 has 192 divisors, whose sum is σ = 1362097507680. Its totient is φ = 109311590400.

The previous prime is 424545545357. The next prime is 424545545401. The reversal of 424545545400 is 4545545424.

It is a super-2 number, since 2×4245455454002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424545545401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2297242 + ... + 2475158.

Almost surely, 2424545545400 is an apocalyptic number.

424545545400 is a gapful number since it is divisible by the number (40) 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 424545545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681048753840).

424545545400 is an abundant number, since it is smaller than the sum of its proper divisors (937551962280).

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

424545545400 is a wasteful number, since it uses less digits than its factorization.

424545545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178074 (or 178065 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 42.

The spelling of 424545545400 in words is "four hundred twenty-four billion, five hundred forty-five million, five hundred forty-five thousand, four hundred".