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55429734120 = 23352353378929
BaseRepresentation
bin110011100111110111…
…101001111011101000
312022001222211020120120
4303213313221323220
51402010002442440
641244123323240
74001412652245
oct634767517350
9168058736516
1055429734120
1121564704722
12a8ab380520
1352c4950b57
14297b8d65cc
1516963d4dd0
hexce7de9ee8

55429734120 has 128 divisors (see below), whose sum is σ = 176793580800. Its totient is φ = 13871796224.

The previous prime is 55429734103. The next prime is 55429734127. The reversal of 55429734120 is 2143792455.

It is a happy number.

It is a super-2 number, since 2×554297341202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55429734127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43185 + ... + 335744.

It is an arithmetic number, because the mean of its divisors is an integer number (1381199850).

Almost surely, 255429734120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55429734120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88396790400).

55429734120 is an abundant number, since it is smaller than the sum of its proper divisors (121363846680).

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

55429734120 is a wasteful number, since it uses less digits than its factorization.

55429734120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379019 (or 379015 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 55429734120 in words is "fifty-five billion, four hundred twenty-nine million, seven hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 53 60 69 92 106 115 120 138 159 184 212 230 265 276 318 345 424 460 530 552 636 690 795 920 1060 1219 1272 1380 1590 2120 2438 2760 3180 3657 4876 6095 6360 7314 9752 12190 14628 18285 24380 29256 36570 48760 73140 146280 378929 757858 1136787 1515716 1894645 2273574 3031432 3789290 4547148 5683935 7578580 8715367 9094296 11367870 15157160 17430734 20083237 22735740 26146101 34861468 40166474 43576835 45471480 52292202 60249711 69722936 80332948 87153670 100416185 104584404 120499422 130730505 160665896 174307340 200832370 209168808 240998844 261461010 301248555 348614680 401664740 461914451 481997688 522922020 602497110 803329480 923828902 1045844040 1204994220 1385743353 1847657804 2309572255 2409988440 2771486706 3695315608 4619144510 5542973412 6928716765 9238289020 11085946824 13857433530 18476578040 27714867060 55429734120