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253284666482352 = 24326979332472737
BaseRepresentation
bin111001100101110001101110…
…100100101001111010110000
31020012210202222220021020000110
4321211301232210221322300
5231144303444104413402
62254405211445021320
7104231133103340331
oct7145615644517260
91205722886236013
10253284666482352
117378247312567a
12244a83223b4840
13ab4384568c68b
144679086a26288
151e437ae8ac56c
hexe65c6e929eb0

253284666482352 has 80 divisors (see below), whose sum is σ = 656834186216160. Its totient is φ = 84103725490176.

The previous prime is 253284666482333. The next prime is 253284666482381.

253284666482352 is nontrivially palindromic in base 10.

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, 101194528 + ... + 103667264.

It is an arithmetic number, because the mean of its divisors is an integer number (8210427327702).

Almost surely, 2253284666482352 is an apocalyptic number.

It is an amenable number.

253284666482352 is an abundant number, since it is smaller than the sum of its proper divisors (403549519733808).

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

253284666482352 is a wasteful number, since it uses less digits than its factorization.

253284666482352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480950 (or 2480944 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 66.

The spelling of 253284666482352 in words is "two hundred fifty-three trillion, two hundred eighty-four billion, six hundred sixty-six million, four hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 269 538 807 1076 1614 2152 3228 4304 6456 7933 12912 15866 23799 31732 47598 63464 95196 126928 190392 380784 2133977 2472737 4267954 4945474 6401931 7418211 8535908 9890948 12803862 14836422 17071816 19781896 25607724 29672844 34143632 39563792 51215448 59345688 102430896 118691376 665166253 1330332506 1995498759 2660665012 3990997518 5321330024 7981995036 10642660048 15963990072 19616222621 31927980144 39232445242 58848667863 78464890484 117697335726 156929780968 235394671452 313859561936 470789342904 941578685808 5276763885049 10553527770098 15830291655147 21107055540196 31660583310294 42214111080392 63321166620588 84428222160784 126642333241176 253284666482352