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5761475136 = 263311232969
BaseRepresentation
bin1010101110110100…
…10010001001000000
3112212112020021002000
411113122102021000
543244414201021
62351412224000
7262526505414
oct52732221100
915775207060
105761475136
1124972255aa
12114960b000
1370a8434b1
143c927cd44
1523ac1db26
hex157692240

5761475136 has 112 divisors (see below), whose sum is σ = 16958462400. Its totient is φ = 1918135296.

The previous prime is 5761475047. The next prime is 5761475149. The reversal of 5761475136 is 6315741675.

5761475136 is a `hidden beast` number, since 576 + 1 + 4 + 75 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5761475091 and 5761475100.

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, 1939060 + ... + 1942028.

Almost surely, 25761475136 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 5761475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8479231200).

5761475136 is an abundant number, since it is smaller than the sum of its proper divisors (11196987264).

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

5761475136 is a wasteful number, since it uses less digits than its factorization.

5761475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4097 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 5761475136 is about 75904.3815336111. The cubic root of 5761475136 is about 1792.7149105956.

The spelling of 5761475136 in words is "five billion, seven hundred sixty-one million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1123 1728 2246 2969 3369 4492 5938 6738 8907 8984 10107 11876 13476 17814 17968 20214 23752 26721 26952 30321 35628 35936 40428 47504 53442 53904 60642 71256 71872 80163 80856 95008 106884 107808 121284 142512 160326 161712 190016 213768 215616 242568 285024 320652 323424 427536 485136 570048 641304 646848 855072 970272 1282608 1710144 1940544 2565216 3334187 5130432 6668374 10002561 13336748 20005122 26673496 30007683 40010244 53346992 60015366 80020488 90023049 106693984 120030732 160040976 180046098 213387968 240061464 320081952 360092196 480122928 640163904 720184392 960245856 1440368784 1920491712 2880737568 5761475136