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4705728877 = 17292472149
BaseRepresentation
bin1000110000111101…
…11011100101101101
3110010221122210110201
410120132323211231
534114131311002
62054540033501
7224420015113
oct43036734555
913127583421
104705728877
111aa5296833
12ab3b32891
1359cbb8575
14328d7dab3
151c81ca087
hex1187bb96d

4705728877 has 36 divisors (see below), whose sum is σ = 5307786900. Its totient is φ = 4157128192.

The previous prime is 4705728869. The next prime is 4705728899. The reversal of 4705728877 is 7788275074.

It can be written as a sum of positive squares in 6 ways, for example, as 9916201 + 4695812676 = 3149^2 + 68526^2 .

It is not a de Polignac number, because 4705728877 - 23 = 4705728869 is a prime.

It is a super-2 number, since 2×47057288772 = 44287768527663362258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4705728827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31581999 + ... + 31582147.

It is an arithmetic number, because the mean of its divisors is an integer number (147438525).

Almost surely, 24705728877 is an apocalyptic number.

4705728877 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

4705728877 is a deficient number, since it is larger than the sum of its proper divisors (602058023).

4705728877 is a wasteful number, since it uses less digits than its factorization.

4705728877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6146560, while the sum is 55.

The square root of 4705728877 is about 68598.3154093451. The cubic root of 4705728877 is about 1675.7489932547.

The spelling of 4705728877 in words is "four billion, seven hundred five million, seven hundred twenty-eight thousand, eight hundred seventy-seven".

Divisors: 1 17 29 47 149 493 799 841 1363 2209 2533 4321 7003 14297 23171 37553 39527 64061 73457 119051 125309 203087 329141 671959 1089037 1857769 2130253 3452479 5595397 5889523 9545089 31582073 100121891 162266513 276807581 4705728877