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54482828445 = 33531101157821
BaseRepresentation
bin110010101111011011…
…011111110010011101
312012122000001110012000
4302233123133302131
51343040101002240
641010140032513
73636064254303
oct625733376235
9165560043160
1054482828445
1121119155451
12a686232739
1351a3713636
1428cbc4a273
15163d1e0430
hexcaf6dfc9d

54482828445 has 128 divisors (see below), whose sum is σ = 101739663360. Its totient is φ = 27630720000.

The previous prime is 54482828443. The next prime is 54482828447.

54482828445 is a `hidden beast` number, since 5 + 4 + 482 + 82 + 84 + 4 + 5 = 666.

54482828445 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54482828443) and next prime (54482828447).

It is not a de Polignac number, because 54482828445 - 21 = 54482828443 is a prime.

It is a super-2 number, since 2×544828284452 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54482828391 and 54482828400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54482828443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66361135 + ... + 66361955.

It is an arithmetic number, because the mean of its divisors is an integer number (794841120).

Almost surely, 254482828445 is an apocalyptic number.

It is an amenable number.

54482828445 is a deficient number, since it is larger than the sum of its proper divisors (47256834915).

54482828445 is a wasteful number, since it uses less digits than its factorization.

54482828445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1118 counting only the distinct ones).

The product of its digits is 13107200, while the sum is 54.

The spelling of 54482828445 in words is "fifty-four billion, four hundred eighty-two million, eight hundred twenty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 93 101 135 155 157 279 303 465 471 505 785 821 837 909 1395 1413 1515 2355 2463 2727 3131 4105 4185 4239 4545 4867 7065 7389 9393 12315 13635 14601 15655 15857 21195 22167 24335 25451 28179 36945 43803 46965 47571 73005 76353 79285 82921 84537 110835 127255 128897 131409 140895 142713 219015 229059 237855 248763 381765 386691 414605 422685 428139 491567 644485 657045 687177 713565 746289 1145295 1160073 1243815 1474701 1933455 2140695 2238867 2457835 2570551 3435885 3480219 3731445 3995807 4424103 5800365 7373505 7711653 11194335 11987421 12852755 13018597 13272309 17401095 19979035 22120515 23134959 35962263 38558265 39055791 59937105 65092985 66361545 69404877 107886789 115674795 117167373 179811315 195278955 347024385 351502119 403576507 539433945 585836865 1210729521 1757510595 2017882535 3632188563 6053647605 10896565689 18160942815 54482828445