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4706741385 = 335283349353
BaseRepresentation
bin1000110001000101…
…10010110010001001
3110011000120020101000
410120202302302021
534114411211020
62055013445213
7224431433043
oct43042626211
913130506330
104706741385
111aa5918515
12ab4340809
135a0181398
14329164a93
151c832a090
hex1188b2c89

4706741385 has 64 divisors (see below), whose sum is σ = 8445024000. Its totient is φ = 2487158784.

The previous prime is 4706741381. The next prime is 4706741393. The reversal of 4706741385 is 5831476074.

4706741385 is a `hidden beast` number, since 470 + 67 + 41 + 3 + 85 = 666.

It is not a de Polignac number, because 4706741385 - 22 = 4706741381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4706741385.

It is not an unprimeable number, because it can be changed into a prime (4706741381) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13333369 + ... + 13333721.

It is an arithmetic number, because the mean of its divisors is an integer number (131953500).

Almost surely, 24706741385 is an apocalyptic number.

4706741385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4706741385 is a deficient number, since it is larger than the sum of its proper divisors (3738282615).

4706741385 is a wasteful number, since it uses less digits than its factorization.

4706741385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4706741385 is about 68605.6949895561. The cubic root of 4706741385 is about 1675.8691721281.

The spelling of 4706741385 in words is "four billion, seven hundred six million, seven hundred forty-one thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 283 349 353 849 1047 1059 1415 1745 1765 2547 3141 3177 4245 5235 5295 7641 9423 9531 12735 15705 15885 38205 47115 47655 98767 99899 123197 296301 299697 369591 493835 499495 615985 888903 899091 1108773 1481505 1498485 1847955 2666709 2697273 3326319 4444515 4495455 5543865 13333545 13486365 16631595 34864751 104594253 174323755 313782759 522971265 941348277 1568913795 4706741385