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54486874556640 = 253251271673734783
BaseRepresentation
bin11000110001110001101101…
…10011011000100011100000
321010220220010222020001220200
430120320312303120203200
524120203104341303030
6311514531414505200
714322355355034111
oct1430706663304340
9233826128201820
1054486874556640
11163a78322432a9
12613bb08065200
1324531232b6036
14d652708aa208
156474de2bcd60
hex318e36cd88e0

54486874556640 has 576 divisors, whose sum is σ = 189067628445696. Its totient is φ = 14287701528576.

The previous prime is 54486874556461. The next prime is 54486874556717. The reversal of 54486874556640 is 4665547868445.

54486874556640 is a `hidden beast` number, since 5 + 4 + 4 + 8 + 6 + 8 + 7 + 4 + 556 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11391775689 + ... + 11391780471.

It is an arithmetic number, because the mean of its divisors is an integer number (328242410496).

Almost surely, 254486874556640 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 54486874556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94533814222848).

54486874556640 is an abundant number, since it is smaller than the sum of its proper divisors (134580753889056).

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

54486874556640 is a wasteful number, since it uses less digits than its factorization.

54486874556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 3096576000, while the sum is 72.

The spelling of 54486874556640 in words is "fifty-four trillion, four hundred eighty-six billion, eight hundred seventy-four million, five hundred fifty-six thousand, six hundred forty".