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54945173248 = 287232149389
BaseRepresentation
bin110011001010111111…
…001100111100000000
312020211020001000000121
4303022333030330000
51400011431020443
641124053430024
73653410160320
oct631277147400
9166736030017
1054945173248
1121336132999
12a79503b314
135248443244
1429333dd280
151668abb4ed
hexccafccf00

54945173248 has 216 divisors, whose sum is σ = 132248844000. Its totient is φ = 22315425792.

The previous prime is 54945173243. The next prime is 54945173287. The reversal of 54945173248 is 84237154945.

54945173248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54945173195 and 54945173204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54945173243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141247038 + ... + 141247426.

Almost surely, 254945173248 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 54945173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66124422000).

54945173248 is an abundant number, since it is smaller than the sum of its proper divisors (77303670752).

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

54945173248 is a wasteful number, since it uses less digits than its factorization.

54945173248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 570 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The spelling of 54945173248 in words is "fifty-four billion, nine hundred forty-five million, one hundred seventy-three thousand, two hundred forty-eight".