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55505505042 = 23313569138959
BaseRepresentation
bin110011101100011000…
…101100101100010010
312022021021101210202000
4303230120230230102
51402133402130132
641255431334430
74003323002601
oct635430545422
9168237353660
1055505505042
11215a3457519
12a910821416
135307560310
1429879bba38
15169cda087c
hexcec62cb12

55505505042 has 64 divisors (see below), whose sum is σ = 133068096000. Its totient is φ = 17048479104.

The previous prime is 55505505037. The next prime is 55505505047. The reversal of 55505505042 is 24050550555.

55505505042 is a `hidden beast` number, since 5 + 5 + 50 + 550 + 50 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55505505037) and next prime (55505505047).

It is a super-2 number, since 2×555055050422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55505504988 and 55505505006.

It is not an unprimeable number, because it can be changed into a prime (55505505047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 329959 + ... + 468917.

It is an arithmetic number, because the mean of its divisors is an integer number (2079189000).

Almost surely, 255505505042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505505042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66534048000).

55505505042 is an abundant number, since it is smaller than the sum of its proper divisors (77562590958).

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

55505505042 is a wasteful number, since it uses less digits than its factorization.

55505505042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139552 (or 139546 counting only the distinct ones).

The product of its (nonzero) digits is 125000, while the sum is 36.

The spelling of 55505505042 in words is "fifty-five billion, five hundred five million, five hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 569 702 1138 1707 3414 5121 7397 10242 14794 15363 22191 30726 44382 66573 133146 138959 199719 277918 399438 416877 833754 1250631 1806467 2501262 3612934 3751893 5419401 7503786 10838802 16258203 32516406 48774609 79067671 97549218 158135342 237203013 474406026 711609039 1027879723 1423218078 2055759446 2134827117 3083639169 4269654234 6167278338 9250917507 18501835014 27752752521 55505505042