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4943429120 = 29571914519
BaseRepresentation
bin1001001101010011…
…01011111000000000
3110202111221012220102
410212221223320000
540111004212440
62134310501532
7233334311540
oct44651537000
913674835812
104943429120
112107489513
12b5b6648a8
1360a2126b6
1434c777320
151ddeceb15
hex126a6be00

4943429120 has 160 divisors (see below), whose sum is σ = 14259801600. Its totient is φ = 1605574656.

The previous prime is 4943429107. The next prime is 4943429131. The reversal of 4943429120 is 219243494.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333221 + ... + 347739.

It is an arithmetic number, because the mean of its divisors is an integer number (89123760).

Almost surely, 24943429120 is an apocalyptic number.

4943429120 is a gapful number since it is divisible by the number (40) 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 4943429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129900800).

4943429120 is an abundant number, since it is smaller than the sum of its proper divisors (9316372480).

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

4943429120 is a wasteful number, since it uses less digits than its factorization.

4943429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14568 (or 14552 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 4943429120 is about 70309.5236792285. The cubic root of 4943429120 is about 1703.5024813631.

The spelling of 4943429120 in words is "four billion, nine hundred forty-three million, four hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2560 2660 3040 3584 4256 4480 4864 5320 6080 8512 8960 9728 10640 12160 14519 17024 17920 21280 24320 29038 34048 42560 48640 58076 68096 72595 85120 101633 116152 145190 170240 203266 232304 275861 290380 340480 406532 464608 508165 551722 580760 813064 929216 1016330 1103444 1161520 1379305 1626128 1858432 1931027 2032660 2206888 2323040 2758610 3252256 3716864 3862054 4065320 4413776 4646080 5517220 6504512 7433728 7724108 8130640 8827552 9292160 9655135 11034440 13009024 15448216 16261280 17655104 18584320 19310270 22068880 26018048 30896432 32522560 35310208 37168640 38620540 44137760 52036096 61792864 65045120 70620416 77241080 88275520 123585728 130090240 141240832 154482160 176551040 247171456 260180480 308964320 353102080 494342912 617928640 706204160 988685824 1235857280 2471714560 4943429120