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55948079600798 = 27117173610111489
BaseRepresentation
bin11001011100010011011010…
…11010010001010010011110
321100002120202212022020221212
430232021231122101102132
524313123131334211143
6314554105402024422
714533054366006130
oct1456115532212236
9240076685266855
1055948079600798
11169104a140a110
1263371427a8112
13252ab5c1b9468
14db5c89a0d050
15670510865918
hex32e26d69149e

55948079600798 has 128 divisors (see below), whose sum is σ = 107584309278720. Its totient is φ = 21191224320000.

The previous prime is 55948079600719. The next prime is 55948079600801. The reversal of 55948079600798 is 89700697084955.

55948079600798 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×559480796007982 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4869702638 + ... + 4869714126.

It is an arithmetic number, because the mean of its divisors is an integer number (840502416240).

Almost surely, 255948079600798 is an apocalyptic number.

55948079600798 is a deficient number, since it is larger than the sum of its proper divisors (51636229677922).

55948079600798 is a wasteful number, since it uses less digits than its factorization.

55948079600798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17754.

The product of its (nonzero) digits is 1371686400, while the sum is 77.

The spelling of 55948079600798 in words is "fifty-five trillion, nine hundred forty-eight billion, seventy-nine million, six hundred thousand, seven hundred ninety-eight".

Divisors: 1 2 7 11 14 22 71 73 77 142 146 154 497 511 781 803 994 1022 1562 1606 5183 5467 5621 6101 10366 10934 11242 11489 12202 22978 36281 42707 57013 67111 72562 80423 85414 114026 126379 134222 160846 252758 399091 433171 445373 469777 798182 815719 838697 866342 884653 890746 939554 1631438 1677394 1769306 3032197 3117611 4764881 4899103 5710033 5870879 6064394 6235222 8972909 9225667 9529762 9798206 11420066 11741758 17945818 18451334 31621483 33354167 34293721 59547487 62810363 63242966 64579669 66708334 68587442 70094389 119094974 125620726 129159338 140188778 221350381 347836313 416832409 442700762 490660723 655022357 695672626 771038279 833664818 981321446 1310044714 1542076558 2434854191 4585156499 4869708382 4976701619 5116890397 5397267953 9170312998 9953403238 10233780794 10794535906 34836911333 35818232779 54743717809 56285794367 69673822666 71636465558 109487435618 112571588734 363299218187 383206024663 394000560569 726598436374 766412049326 788001121138 2543094527309 3996291400057 5086189054618 7992582800114 27974039800399 55948079600798