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54376109424 = 2432713171929443
BaseRepresentation
bin110010101001000100…
…011001010101110000
312012100120020120012200
4302221010121111300
51342330241000144
640551404423200
73633330206160
oct625104312560
9165316216180
1054376109424
112107399490a
12a656547b00
1351875897a0
1428bb9ca5a0
151633b5ec69
hexca9119570

54376109424 has 960 divisors, whose sum is σ = 216436147200. Its totient is φ = 12318179328.

The previous prime is 54376109393. The next prime is 54376109449. The reversal of 54376109424 is 42490167345.

54376109424 is a `hidden beast` number, since 5 + 4 + 3 + 7 + 610 + 9 + 4 + 24 = 666.

It is a super-2 number, since 2×543761094242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54376109424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122744947 + ... + 122745389.

It is an arithmetic number, because the mean of its divisors is an integer number (225454320).

Almost surely, 254376109424 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 54376109424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108218073600).

54376109424 is an abundant number, since it is smaller than the sum of its proper divisors (162060037776).

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

54376109424 is a wasteful number, since it uses less digits than its factorization.

54376109424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54376109424 in words is "fifty-four billion, three hundred seventy-six million, one hundred nine thousand, four hundred twenty-four".