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54080389440 = 26325711232461
BaseRepresentation
bin110010010111011100…
…010100000101000000
312011120221210102122200
4302113130110011000
51341224034430230
640502202233200
73623106503610
oct622734240500
9164527712580
1054080389440
1120a31a74030
12a5934b5800
13513b229b4c
14289060ca40
151617be9160
hexc97714140

54080389440 has 1008 divisors, whose sum is σ = 242961054336. Its totient is φ = 10725580800.

The previous prime is 54080389387. The next prime is 54080389459. The reversal of 54080389440 is 4498308045.

It is a happy number.

54080389440 is a `hidden beast` number, since 54 + 0 + 80 + 3 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117310810 + ... + 117311270.

It is an arithmetic number, because the mean of its divisors is an integer number (241032792).

Almost surely, 254080389440 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 54080389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121480527168).

54080389440 is an abundant number, since it is smaller than the sum of its proper divisors (188880664896).

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

54080389440 is a wasteful number, since it uses less digits than its factorization.

54080389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 54080389440 in words is "fifty-four billion, eighty million, three hundred eighty-nine thousand, four hundred forty".