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48314285856 = 2532414091657
BaseRepresentation
bin101100111111110000…
…010111111100100000
311121201002212000112200
4230333300113330200
51242421424121411
634110102453200
73330162440154
oct547760277440
9147632760480
1048314285856
1119543178071
129444434200
13472c755a35
1424a48c7064
1513cb8b3e56
hexb3fc17f20

48314285856 has 72 divisors (see below), whose sum is σ = 140744851884. Its totient is φ = 15711959040.

The previous prime is 48314285843. The next prime is 48314285857. The reversal of 48314285856 is 65858241384.

48314285856 is a `hidden beast` number, since 4 + 8 + 31 + 4 + 28 + 585 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41836611600 + 6477674256 = 204540^2 + 80484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (48314285857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2034021 + ... + 2057636.

Almost surely, 248314285856 is an apocalyptic number.

It is an amenable number.

48314285856 is an abundant number, since it is smaller than the sum of its proper divisors (92430566028).

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

48314285856 is a wasteful number, since it uses less digits than its factorization.

48314285856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091714 (or 4091703 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 48314285856 in words is "forty-eight billion, three hundred fourteen million, two hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 4091657 8183314 12274971 16366628 24549942 32733256 36824913 49099884 65466512 73649826 98199768 130933024 147299652 167757937 196399536 294599304 335515874 392799072 503273811 589198608 671031748 1006547622 1178397216 1342063496 1509821433 2013095244 2684126992 3019642866 4026190488 5368253984 6039285732 8052380976 12078571464 16104761952 24157142928 48314285856