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47678303745 = 3257731370657
BaseRepresentation
bin101100011001110110…
…010010111000000001
311120001210010210002200
4230121312102320001
51240121121204440
633523023303413
73305340616002
oct543166227001
9146053123080
1047678303745
1119247183316
1292a744ab69
13465aa6c367
1424442551a9
151390b39c30
hexb19d92e01

47678303745 has 24 divisors (see below), whose sum is σ = 82749364776. Its totient is φ = 25395514368.

The previous prime is 47678303641. The next prime is 47678303801. The reversal of 47678303745 is 54730387674.

47678303745 is a `hidden beast` number, since 476 + 78 + 30 + 3 + 74 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7045419969 + 40632883776 = 83937^2 + 201576^2 .

It is not a de Polignac number, because 47678303745 - 212 = 47678299649 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47678303691 and 47678303700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650544 + ... + 720113.

It is an arithmetic number, because the mean of its divisors is an integer number (3447890199).

Almost surely, 247678303745 is an apocalyptic number.

47678303745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47678303745 is a deficient number, since it is larger than the sum of its proper divisors (35071061031).

47678303745 is a wasteful number, since it uses less digits than its factorization.

47678303745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371441 (or 1371438 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 47678303745 in words is "forty-seven billion, six hundred seventy-eight million, three hundred three thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 773 2319 3865 6957 11595 34785 1370657 4111971 6853285 12335913 20559855 61679565 1059517861 3178553583 5297589305 9535660749 15892767915 47678303745