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47777434760864 = 256124476144857
BaseRepresentation
bin10101101110100000011010…
…00001101111011010100000
320021011110220120112210212202
422313100031001233122200
522230241141244321424
6245340352302512332
713030543241535614
oct1267201501573240
9207143816483782
1047777434760864
1114250329404a46
1254377062956a8
132087514ba2b43
14bb2623bdb344
1557cc0267b2ae
hex2b740d06f6a0

47777434760864 has 24 divisors (see below), whose sum is σ = 95603821815348. Its totient is φ = 23497099061760.

The previous prime is 47777434760857. The next prime is 47777434760917. The reversal of 47777434760864 is 46806743477774.

It can be written as a sum of positive squares in 2 ways, for example, as 45307168723600 + 2470266037264 = 6731060^2 + 1571708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47777434760791 and 47777434760800.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12238070477 + ... + 12238074380.

Almost surely, 247777434760864 is an apocalyptic number.

It is an amenable number.

47777434760864 is an abundant number, since it is smaller than the sum of its proper divisors (47826387054484).

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

47777434760864 is a wasteful number, since it uses less digits than its factorization.

47777434760864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24476144928 (or 24476144920 counting only the distinct ones).

The product of its (nonzero) digits is 3717439488, while the sum is 74.

The spelling of 47777434760864 in words is "forty-seven trillion, seven hundred seventy-seven billion, four hundred thirty-four million, seven hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 24476144857 48952289714 97904579428 195809158856 391618317712 783236635424 1493044836277 2986089672554 5972179345108 11944358690216 23888717380432 47777434760864