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55637965089400 = 2352312377823771
BaseRepresentation
bin11001010011010001110010…
…01001010010101001111000
321021222221022110010210222111
430221220321021102221320
524243033023030330100
6314155421151502104
714501465433110161
oct1451507111225170
9237887273123874
1055637965089400
1116800a238a5791
1262a7015b27934
132507839a48785
14da4c6b45a768
156674102296ba
hex329a39252a78

55637965089400 has 144 divisors (see below), whose sum is σ = 137278328881320. Its totient is φ = 20955185568000.

The previous prime is 55637965089391. The next prime is 55637965089439. The reversal of 55637965089400 is 498056973655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3199515 + ... + 11023285.

Almost surely, 255637965089400 is an apocalyptic number.

55637965089400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55637965089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68639164440660).

55637965089400 is an abundant number, since it is smaller than the sum of its proper divisors (81640363791920).

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

55637965089400 is a wasteful number, since it uses less digits than its factorization.

55637965089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823886 (or 7823846 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 67.

The spelling of 55637965089400 in words is "fifty-five trillion, six hundred thirty-seven billion, nine hundred sixty-five million, eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 37 40 50 62 74 100 124 148 155 185 200 248 296 310 370 620 740 775 925 961 1147 1240 1480 1550 1850 1922 2294 3100 3700 3844 4588 4805 5735 6200 7400 7688 9176 9610 11470 19220 22940 24025 28675 35557 38440 45880 48050 57350 71114 96100 114700 142228 177785 192200 229400 284456 355570 711140 888925 1422280 1777850 3555700 7111400 7823771 15647542 31295084 39118855 62590168 78237710 156475420 195594275 242536901 289479527 312950840 391188550 485073802 578959054 782377100 970147604 1157918108 1212684505 1447397635 1564754200 1940295208 2315836216 2425369010 2894795270 4850738020 5789590540 6063422525 7236988175 7518643931 8973865337 9701476040 11579181080 12126845050 14473976350 15037287862 17947730674 24253690100 28947952700 30074575724 35895461348 37593219655 44869326685 48507380200 57895905400 60149151448 71790922696 75186439310 89738653370 150372878620 179477306740 187966098275 224346633425 278189825447 300745757240 358954613480 375932196550 448693266850 556379650894 751864393100 897386533700 1112759301788 1390949127235 1503728786200 1794773067400 2225518603576 2781898254470 5563796508940 6954745636175 11127593017880 13909491272350 27818982544700 55637965089400