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55113316416450 = 2335253770276959
BaseRepresentation
bin11001000100000000100011…
…01001011011101111000010
321020010210002210002210001000
430202000101221123233002
524210434033000311300
6313114412533552430
714415543234011325
oct1442002151335702
9236123083083030
1055113316416450
11166194763524a6
1262213b61a5716
13249a2180c3726
14d876da7c47bc
156589556c0c00
hex322011a5bbc2

55113316416450 has 96 divisors (see below), whose sum is σ = 154733235724800. Its totient is φ = 14419584653760.

The previous prime is 55113316416449. The next prime is 55113316416527. The reversal of 55113316416450 is 5461461331155.

55113316416450 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 33 + 164 + 1 + 6 + 450 = 666.

It is a super-3 number, since 3×551133164164503 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 55113316416396 and 55113316416405.

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 47 ways as a sum of consecutive naturals, for example, 385066930 + ... + 385210029.

It is an arithmetic number, because the mean of its divisors is an integer number (1611804538800).

Almost surely, 255113316416450 is an apocalyptic number.

55113316416450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55113316416450 is an abundant number, since it is smaller than the sum of its proper divisors (99619919308350).

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

55113316416450 is a wasteful number, since it uses less digits than its factorization.

55113316416450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770277033 (or 770277022 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55113316416450 in words is "fifty-five trillion, one hundred thirteen billion, three hundred sixteen million, four hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 135 150 159 225 265 270 318 450 477 530 675 795 954 1325 1350 1431 1590 2385 2650 2862 3975 4770 7155 7950 11925 14310 23850 35775 71550 770276959 1540553918 2310830877 3851384795 4621661754 6932492631 7702769590 11554154385 13864985262 19256923975 20797477893 23108308770 34662463155 38513847950 40824678827 41594955786 57770771925 69324926310 81649357654 103987389465 115541543850 122474036481 173312315775 204123394135 207974778930 244948072962 346624631550 367422109443 408246788270 519936947325 612370182405 734844218886 1020616970675 1039873894650 1102266328329 1224740364810 1837110547215 2041233941350 2204532656658 3061850912025 3674221094430 5511331641645 6123701824050 9185552736075 11022663283290 18371105472150 27556658208225 55113316416450