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54466626336 = 2531929861089
BaseRepresentation
bin110010101110011101…
…101100001100100000
312012120212120022001220
4302232131230030200
51343021424020321
641004400455040
73635506453653
oct625635541440
9165525508056
1054466626336
112110aa99581
12a68091a480
1351a025caa5
1428c9a2d89a
15163ba8e9c6
hexcae76c320

54466626336 has 48 divisors (see below), whose sum is σ = 150499893600. Its totient is φ = 17199986688.

The previous prime is 54466626329. The next prime is 54466626397. The reversal of 54466626336 is 63362666445.

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

It is a super-2 number, since 2×544666263362 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 14928721 + ... + 14932368.

It is an arithmetic number, because the mean of its divisors is an integer number (3135414450).

Almost surely, 254466626336 is an apocalyptic number.

It is an amenable number.

54466626336 is an abundant number, since it is smaller than the sum of its proper divisors (96033267264).

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

54466626336 is a wasteful number, since it uses less digits than its factorization.

54466626336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29861121 (or 29861113 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 51.

The spelling of 54466626336 in words is "fifty-four billion, four hundred sixty-six million, six hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 29861089 59722178 89583267 119444356 179166534 238888712 358333068 477777424 567360691 716666136 955554848 1134721382 1433332272 1702082073 2269442764 2866664544 3404164146 4538885528 6808328292 9077771056 13616656584 18155542112 27233313168 54466626336