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5769601152 = 27372393323
BaseRepresentation
bin1010101111110010…
…10010000010000000
3112220002112002212120
411113321102002000
543304004214102
62352302324240
7262655541420
oct52771220200
915802462776
105769601152
1124a0875817
121150289680
1370c42a0a3
143ca396480
1523b7c66bc
hex157e52080

5769601152 has 128 divisors (see below), whose sum is σ = 18276572160. Its totient is φ = 1576768512.

The previous prime is 5769601141. The next prime is 5769601169. The reversal of 5769601152 is 2511069675.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15163 + ... + 108485.

It is an arithmetic number, because the mean of its divisors is an integer number (142785720).

Almost surely, 25769601152 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 5769601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9138286080).

5769601152 is an abundant number, since it is smaller than the sum of its proper divisors (12506971008).

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

5769601152 is a wasteful number, since it uses less digits than its factorization.

5769601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93370 (or 93358 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 5769601152 is about 75957.8906500174. The cubic root of 5769601152 is about 1793.5573329677.

The spelling of 5769601152 in words is "five billion, seven hundred sixty-nine million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 15456 20608 30912 61824 93323 186646 279969 373292 559938 653261 746584 1119876 1306522 1493168 1959783 2146429 2239752 2613044 2986336 3919566 4292858 4479504 5226088 5972672 6439287 7839132 8585716 8959008 10452176 11945344 12878574 15025003 15678264 17171432 17918016 20904352 25757148 30050006 31356528 34342864 35836032 41808704 45075009 51514296 60100012 62713056 68685728 83617408 90150018 103028592 120200024 125426112 137371456 180300036 206057184 240400048 250852224 274742912 360600072 412114368 480800096 721200144 824228736 961600192 1442400288 1923200384 2884800576 5769601152