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50434325120 = 2755313710853
BaseRepresentation
bin101110111110000111…
…101011101010000000
311211011212002011200102
4232332013223222000
51311242141400440
635100314341532
73433544455514
oct567607535200
9154155064612
1050434325120
111a430952a33
12993642a8a8
1349a9a3bb3a
1426262ac144
1514a2a88b15
hexbbe1eba80

50434325120 has 128 divisors (see below), whose sum is σ = 123752532240. Its totient is φ = 19646808064.

The previous prime is 50434325063. The next prime is 50434325177. The reversal of 50434325120 is 2152343405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50434325063) and next prime (50434325177).

It can be written as a sum of positive squares in 8 ways, for example, as 30557836864 + 19876488256 = 174808^2 + 140984^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 4641614 + ... + 4652466.

Almost surely, 250434325120 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 50434325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61876266120).

50434325120 is an abundant number, since it is smaller than the sum of its proper divisors (73318207120).

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

50434325120 is a wasteful number, since it uses less digits than its factorization.

50434325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 11050 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 50434325120 its reverse (2152343405), we get a palindrome (52586668525).

The spelling of 50434325120 in words is "fifty billion, four hundred thirty-four million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 137 160 212 265 274 320 424 530 548 640 685 848 1060 1096 1370 1696 2120 2192 2740 3392 4240 4384 5480 6784 7261 8480 8768 10853 10960 14522 16960 17536 21706 21920 29044 33920 36305 43412 43840 54265 58088 72610 86824 87680 108530 116176 145220 173648 217060 232352 290440 347296 434120 464704 575209 580880 694592 868240 929408 1150418 1161760 1389184 1486861 1736480 2300836 2323520 2876045 2973722 3472960 4601672 4647040 5752090 5947444 6945920 7434305 9203344 11504180 11894888 14868610 18406688 23008360 23789776 29737220 36813376 46016720 47579552 59474440 73626752 78803633 92033440 95159104 118948880 157607266 184066880 190318208 237897760 315214532 368133760 394018165 475795520 630429064 788036330 951591040 1260858128 1576072660 2521716256 3152145320 5043432512 6304290640 10086865024 12608581280 25217162560 50434325120