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51681437352 = 23322333080677
BaseRepresentation
bin110000001000011101…
…000010011010101000
311221101202202001001100
4300020131002122220
51321320421443402
635424144321400
73506466653316
oct601035023250
9157352661040
1051681437352
111aa109078a6
12a024013260
134b4821a17c
142703b830b6
1515272cd71c
hexc087426a8

51681437352 has 48 divisors (see below), whose sum is σ = 140571337140. Its totient is φ = 17153203968.

The previous prime is 51681437329. The next prime is 51681437387. The reversal of 51681437352 is 25373418615.

It is a happy number.

51681437352 is a `hidden beast` number, since 5 + 168 + 1 + 437 + 3 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48279515076 + 3401922276 = 219726^2 + 58326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51681437298 and 51681437307.

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 11 ways as a sum of consecutive naturals, for example, 1523563 + ... + 1557114.

Almost surely, 251681437352 is an apocalyptic number.

It is an amenable number.

51681437352 is an abundant number, since it is smaller than the sum of its proper divisors (88889899788).

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

51681437352 is a wasteful number, since it uses less digits than its factorization.

51681437352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080922 (or 3080915 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 51681437352 in words is "fifty-one billion, six hundred eighty-one million, four hundred thirty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233 466 699 932 1398 1864 2097 2796 4194 5592 8388 16776 3080677 6161354 9242031 12322708 18484062 24645416 27726093 36968124 55452186 73936248 110904372 221808744 717797741 1435595482 2153393223 2871190964 4306786446 5742381928 6460179669 8613572892 12920359338 17227145784 25840718676 51681437352