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54563836544 = 27769188129
BaseRepresentation
bin110010110100010000…
…100001001010000000
312012211122111002101222
4302310100201022000
51343221320232134
641022152214212
73641066646440
oct626420411200
9165748432358
1054563836544
112115a954a98
12a6a939a368
1351b7437819
1428d88d6120
151645392a2e
hexcb4421280

54563836544 has 64 divisors (see below), whose sum is σ = 124411358400. Its totient is φ = 23350394880.

The previous prime is 54563836519. The next prime is 54563836559. The reversal of 54563836544 is 44563836545.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575072 + ... + 663200.

It is an arithmetic number, because the mean of its divisors is an integer number (1943927475).

Almost surely, 254563836544 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 54563836544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62205679200).

54563836544 is an abundant number, since it is smaller than the sum of its proper divisors (69847521856).

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

54563836544 is an equidigital number, since it uses as much as digits as its factorization.

54563836544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88841 (or 88829 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 53.

Subtracting from 54563836544 its reverse (44563836545), we obtain a palindrome (9999999999).

The spelling of 54563836544 in words is "fifty-four billion, five hundred sixty-three million, eight hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 691 896 1382 2764 4837 5528 9674 11056 19348 22112 38696 44224 77392 88129 88448 154784 176258 309568 352516 616903 619136 705032 1233806 1410064 2467612 2820128 4935224 5640256 9870448 11280512 19740896 39481792 60897139 78963584 121794278 243588556 426279973 487177112 852559946 974354224 1705119892 1948708448 3410239784 3897416896 6820479568 7794833792 13640959136 27281918272 54563836544