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53424534400 = 2752192103449
BaseRepresentation
bin110001110000010110…
…011011001110000000
312002220020200112200021
4301300112123032000
51333403140100100
640313133103224
73600624023026
oct616026331600
9162806615607
1053424534400
1120725836476
12a42b927b14
1350653a5b43
14282b486716
1515ca346a1a
hexc7059b380

53424534400 has 288 divisors, whose sum is σ = 140952474000. Its totient is φ = 20003880960.

The previous prime is 53424534353. The next prime is 53424534413. The reversal of 53424534400 is 443542435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118985376 + ... + 118985824.

Almost surely, 253424534400 is an apocalyptic number.

53424534400 is a gapful number since it is divisible by the number (50) 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 53424534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70476237000).

53424534400 is an abundant number, since it is smaller than the sum of its proper divisors (87527939600).

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

53424534400 is a wasteful number, since it uses less digits than its factorization.

53424534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The spelling of 53424534400 in words is "fifty-three billion, four hundred twenty-four million, five hundred thirty-four thousand, four hundred".