Search a number
-
+
54478127340 = 223357131923783
BaseRepresentation
bin110010101111001001…
…100100000011101100
312012121200012121111000
4302233021210003230
51343032400033330
641005451200300
73636006304410
oct625711440354
9165550177430
1054478127340
112111653443a
12a684746090
1351a2758910
1428cb384d40
15163cab2560
hexcaf2640ec

54478127340 has 1152 divisors, whose sum is σ = 228831160320. Its totient is φ = 10467366912.

The previous prime is 54478127329. The next prime is 54478127351. The reversal of 54478127340 is 4372187445.

54478127340 is a `hidden beast` number, since 54 + 478 + 127 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54478127329) and next prime (54478127351).

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 656362939 + ... + 656363021.

It is an arithmetic number, because the mean of its divisors is an integer number (198638160).

Almost surely, 254478127340 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 54478127340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114415580160).

54478127340 is an abundant number, since it is smaller than the sum of its proper divisors (174353032980).

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

54478127340 is a wasteful number, since it uses less digits than its factorization.

54478127340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 54478127340 in words is "fifty-four billion, four hundred seventy-eight million, one hundred twenty-seven thousand, three hundred forty".