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47681683461 = 3219181276209
BaseRepresentation
bin101100011010000011…
…001100000000000101
311120002000111111012100
4230122003030000011
51240123002332321
633523223542313
73305411423256
oct543203140005
9146060444170
1047681683461
1119249081575
1292a85ba999
13465b6837a9
142444894b2d
1513910a6326
hexb1a0cc005

47681683461 has 12 divisors (see below), whose sum is σ = 68877382860. Its totient is φ = 31786016640.

The previous prime is 47681683457. The next prime is 47681683481. The reversal of 47681683461 is 16438618674.

47681683461 is a `hidden beast` number, since 47 + 6 + 81 + 68 + 3 + 461 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19608680961 + 28073002500 = 140031^2 + 167550^2 .

It is not a de Polignac number, because 47681683461 - 22 = 47681683457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47681683398 and 47681683407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47681683411) 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, 34525 + ... + 310733.

It is an arithmetic number, because the mean of its divisors is an integer number (5739781905).

Almost surely, 247681683461 is an apocalyptic number.

It is an amenable number.

47681683461 is a deficient number, since it is larger than the sum of its proper divisors (21195699399).

47681683461 is a wasteful number, since it uses less digits than its factorization.

47681683461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295396 (or 295393 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 47681683461 in words is "forty-seven billion, six hundred eighty-one million, six hundred eighty-three thousand, four hundred sixty-one".

Divisors: 1 3 9 19181 57543 172629 276209 828627 2485881 5297964829 15893894487 47681683461