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47057813505 = 3251045729189
BaseRepresentation
bin101011110100110111…
…010100000000000001
311111110112120121111200
4223310313110000001
51232333300013010
633341300131413
73254064546363
oct536467240001
9144415517450
1047057813505
1118a589aa86a
129153696b69
13458c34b181
1423c5a96d33
151356420cc0
hexaf4dd4001

47057813505 has 12 divisors (see below), whose sum is σ = 81566876820. Its totient is φ = 25097500512.

The previous prime is 47057813479. The next prime is 47057813521. The reversal of 47057813505 is 50531875074.

It is a happy number.

47057813505 is a `hidden beast` number, since 4 + 70 + 5 + 78 + 1 + 3 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5151219984 + 41906593521 = 71772^2 + 204711^2 .

It is not a de Polignac number, because 47057813505 - 28 = 47057813249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1045729189 = 47057813505 / (4 + 7 + 0 + 5 + 7 + 8 + 1 + 3 + 5 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522864550 + ... + 522864639.

It is an arithmetic number, because the mean of its divisors is an integer number (6797239735).

Almost surely, 247057813505 is an apocalyptic number.

47057813505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47057813505 is a deficient number, since it is larger than the sum of its proper divisors (34509063315).

47057813505 is a wasteful number, since it uses less digits than its factorization.

47057813505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045729200 (or 1045729197 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 47057813505 in words is "forty-seven billion, fifty-seven million, eight hundred thirteen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 1045729189 3137187567 5228645945 9411562701 15685937835 47057813505