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54136644736 = 277921125373
BaseRepresentation
bin110010011010110010…
…111010010010000000
312011201212122111102011
4302122302322102000
51341332440112421
640511532102304
73624361613326
oct623262722200
9164655574364
1054136644736
1120a607a7509
12a5aa304994
135149a954c5
142897c93d16
15161cb0c4e1
hexc9acba480

54136644736 has 64 divisors (see below), whose sum is σ = 109737475200. Its totient is φ = 26597975040.

The previous prime is 54136644733. The next prime is 54136644761. The reversal of 54136644736 is 63744663145.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54136644736.

It is not an unprimeable number, because it can be changed into a prime (54136644733) 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, 2120946 + ... + 2146318.

It is an arithmetic number, because the mean of its divisors is an integer number (1714648050).

Almost surely, 254136644736 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 54136644736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54868737600).

54136644736 is an abundant number, since it is smaller than the sum of its proper divisors (55600830464).

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

54136644736 is a wasteful number, since it uses less digits than its factorization.

54136644736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25677 (or 25665 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 49.

The spelling of 54136644736 in words is "fifty-four billion, one hundred thirty-six million, six hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 211 316 422 632 844 1264 1688 2528 3376 5056 6752 10112 13504 16669 25373 27008 33338 50746 66676 101492 133352 202984 266704 405968 533408 811936 1066816 1623872 2004467 2133632 3247744 4008934 5353703 8017868 10707406 16035736 21414812 32071472 42829624 64142944 85659248 128285888 171318496 256571776 342636992 422942537 685273984 845885074 1691770148 3383540296 6767080592 13534161184 27068322368 54136644736