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54083444240 = 245736179409
BaseRepresentation
bin110010010111100111…
…111101111000010000
312011121011112122001102
4302113213331320100
51341230330203430
640502351523532
73623144456000
oct622747757020
9164534478042
1054083444240
1120a33770161
12a5945295a8
13513ba59417
142890ba6000
1516180ee345
hexc979fde10

54083444240 has 320 divisors, whose sum is σ = 151299840000. Its totient is φ = 17964011520.

The previous prime is 54083444209. The next prime is 54083444243. The reversal of 54083444240 is 4244438045.

It is a super-2 number, since 2×540834442402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54083444194 and 54083444203.

It is not an unprimeable number, because it can be changed into a prime (54083444243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132233156 + ... + 132233564.

It is an arithmetic number, because the mean of its divisors is an integer number (472812000).

Almost surely, 254083444240 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 54083444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75649920000).

54083444240 is an abundant number, since it is smaller than the sum of its proper divisors (97216395760).

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

54083444240 is a wasteful number, since it uses less digits than its factorization.

54083444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

The spelling of 54083444240 in words is "fifty-four billion, eighty-three million, four hundred forty-four thousand, two hundred forty".