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54382423360 = 2651743832801
BaseRepresentation
bin110010101001011100…
…011110110101000000
312012101000010100022011
4302221130132311000
51342333400021420
640552152022304
73633434654146
oct625134366500
9165330110264
1054382423360
1121077507641
12a658691994
13518898a645
1428bc791596
1516344aa95a
hexca971ed40

54382423360 has 224 divisors, whose sum is σ = 142045529472. Its totient is φ = 19749273600.

The previous prime is 54382423321. The next prime is 54382423363. The reversal of 54382423360 is 6332428345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54382423363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19413960 + ... + 19416760.

It is an arithmetic number, because the mean of its divisors is an integer number (634131828).

Almost surely, 254382423360 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 54382423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71022764736).

54382423360 is an abundant number, since it is smaller than the sum of its proper divisors (87663106112).

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

54382423360 is a wasteful number, since it uses less digits than its factorization.

54382423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 54382423360 in words is "fifty-four billion, three hundred eighty-two million, four hundred twenty-three thousand, three hundred sixty".