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54563636608 = 2713252113007
BaseRepresentation
bin110010110100001111…
…110000010110000000
312012211122002221010221
4302310033300112000
51343221242332413
641022144032424
73641065154515
oct626417602600
9165748087127
1054563636608
112115a828858
12a6a9302714
1351b7397810
1428d888330c
15164535368d
hexcb43f0580

54563636608 has 64 divisors (see below), whose sum is σ = 117118048320. Its totient is φ = 25171292160.

The previous prime is 54563636563. The next prime is 54563636609. The reversal of 54563636608 is 80663636545.

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

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54563636609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4188441 + ... + 4201447.

It is an arithmetic number, because the mean of its divisors is an integer number (1829969505).

Almost surely, 254563636608 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 54563636608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58559024160).

54563636608 is an abundant number, since it is smaller than the sum of its proper divisors (62554411712).

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

54563636608 is a wasteful number, since it uses less digits than its factorization.

54563636608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555 (or 15543 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 54563636608 in words is "fifty-four billion, five hundred sixty-three million, six hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2521 5042 10084 13007 20168 26014 32773 40336 52028 65546 80672 104056 131092 161344 169091 208112 262184 322688 338182 416224 524368 676364 832448 1048736 1352728 1664896 2097472 2705456 4194944 5410912 10821824 21643648 32790647 65581294 131162588 262325176 426278411 524650352 852556822 1049300704 1705113644 2098601408 3410227288 4197202816 6820454576 13640909152 27281818304 54563636608