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54314581728 = 2531151434263
BaseRepresentation
bin110010100101011001…
…101011111011100000
312012012021110122002010
4302211121223323200
51342214013103403
640541325552520
73631652220141
oct624531537340
9165167418063
1054314581728
1121042190180
12a639a15740
1351778c6374
1428b3771ac8
15162d559603
hexca566bee0

54314581728 has 48 divisors (see below), whose sum is σ = 155537214336. Its totient is φ = 16458963840.

The previous prime is 54314581723. The next prime is 54314581747. The reversal of 54314581728 is 82718541345.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54314581721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25716076 + ... + 25718187.

It is an arithmetic number, because the mean of its divisors is an integer number (3240358632).

Almost surely, 254314581728 is an apocalyptic number.

It is an amenable number.

54314581728 is an abundant number, since it is smaller than the sum of its proper divisors (101222632608).

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

54314581728 is a wasteful number, since it uses less digits than its factorization.

54314581728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51434287 (or 51434279 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 54314581728 in words is "fifty-four billion, three hundred fourteen million, five hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 51434263 102868526 154302789 205737052 308605578 411474104 565776893 617211156 822948208 1131553786 1234422312 1645896416 1697330679 2263107572 2468844624 3394661358 4526215144 4937689248 6789322716 9052430288 13578645432 18104860576 27157290864 54314581728