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55548848768 = 277972292791
BaseRepresentation
bin110011101110111110…
…000010101010000000
312022101021221220011012
4303232332002222000
51402231001130033
641304020340052
74004360265260
oct635676025200
9168337856135
1055548848768
1121615971286
12a923244628
135313527aaa
14298d6617a0
1516a1ab3248
hexceef82a80

55548848768 has 128 divisors (see below), whose sum is σ = 128380627200. Its totient is φ = 23449927680.

The previous prime is 55548848743. The next prime is 55548848791. The reversal of 55548848768 is 86784884555.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 55548848698 and 55548848707.

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 15 ways as a sum of consecutive naturals, for example, 19901453 + ... + 19904243.

It is an arithmetic number, because the mean of its divisors is an integer number (1002973650).

Almost surely, 255548848768 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 55548848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64190313600).

55548848768 is an abundant number, since it is smaller than the sum of its proper divisors (72831778432).

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

55548848768 is a wasteful number, since it uses less digits than its factorization.

55548848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3126 counting only the distinct ones).

The product of its digits is 344064000, while the sum is 68.

The spelling of 55548848768 in words is "fifty-five billion, five hundred forty-eight million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 229 388 448 458 679 776 896 916 1358 1552 1603 1832 2716 2791 3104 3206 3664 5432 5582 6208 6412 7328 10864 11164 12416 12824 14656 19537 21728 22213 22328 25648 29312 39074 43456 44426 44656 51296 78148 86912 88852 89312 102592 155491 156296 177704 178624 205184 270727 310982 312592 355408 357248 541454 621964 625184 639139 710816 1082908 1243928 1250368 1278278 1421632 1895089 2165816 2487856 2500736 2556556 2843264 3790178 4331632 4473973 4975712 5113112 7580356 8663264 8947946 9951424 10226224 15160712 17326528 17895892 19902848 20452448 30321424 34653056 35791784 40904896 60642848 61996483 71583568 81809792 121285696 123992966 143167136 242571392 247985932 286334272 433975381 495971864 572668544 867950762 991943728 1735901524 1983887456 3471803048 3967774912 6943606096 7935549824 13887212192 27774424384 55548848768