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54393143616 = 2632731472197
BaseRepresentation
bin110010101010000101…
…011000000101000000
312012101202021222201200
4302222011120011000
51342344121043431
640553213501200
73633625043430
oct625205300500
9165352258650
1054393143616
1121082569959
12a6601a1800
13518ac71ca6
1428bdd822c0
1516353c6ee6
hexcaa158140

54393143616 has 504 divisors, whose sum is σ = 188879049216. Its totient is φ = 14644869120.

The previous prime is 54393143603. The next prime is 54393143639. The reversal of 54393143616 is 61634139345.

It is a happy number.

54393143616 is a `hidden beast` number, since 543 + 9 + 3 + 1 + 43 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×543931436162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276107230 + ... + 276107426.

Almost surely, 254393143616 is an apocalyptic number.

54393143616 is a gapful number since it is divisible by the number (56) 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 54393143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94439524608).

54393143616 is an abundant number, since it is smaller than the sum of its proper divisors (134485905600).

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

54393143616 is a wasteful number, since it uses less digits than its factorization.

54393143616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 287 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 54393143616 in words is "fifty-four billion, three hundred ninety-three million, one hundred forty-three thousand, six hundred sixteen".