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55544763440 = 2456712598231
BaseRepresentation
bin110011101110101110…
…011101010000110000
312022101000021100010202
4303232232131100300
51402223424412230
641303353014332
74004310461555
oct635656352060
9168330240122
1055544763440
1121613630981
12a9219b43a8
13531272743a
14298ccbaa2c
1516a1557a45
hexceeb9d430

55544763440 has 80 divisors (see below), whose sum is σ = 131189103360. Its totient is φ = 21866254080.

The previous prime is 55544763431. The next prime is 55544763487. The reversal of 55544763440 is 4436744555.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6744125 + ... + 6752355.

It is an arithmetic number, because the mean of its divisors is an integer number (1639863792).

Almost surely, 255544763440 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 55544763440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65594551680).

55544763440 is an abundant number, since it is smaller than the sum of its proper divisors (75644339920).

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

55544763440 is a wasteful number, since it uses less digits than its factorization.

55544763440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 47.

The spelling of 55544763440 in words is "fifty-five billion, five hundred forty-four million, seven hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1259 1340 2518 2680 5036 5360 6295 8231 10072 12590 16462 20144 25180 32924 41155 50360 65848 82310 84353 100720 131696 164620 168706 329240 337412 421765 551477 658480 674824 843530 1102954 1349648 1687060 2205908 2757385 3374120 4411816 5514770 6748240 8823632 10362829 11029540 20725658 22059080 41451316 44118160 51814145 82902632 103628290 165805264 207256580 414513160 694309543 829026320 1388619086 2777238172 3471547715 5554476344 6943095430 11108952688 13886190860 27772381720 55544763440