Search a number
-
+
4746827745 = 3351123472957
BaseRepresentation
bin1000110101110111…
…01101011111100001
3110020210222211112000
410122323231133201
534210141441440
62103004554213
7225426240642
oct43273553741
913223884460
104746827745
112016507a40
12b05852969
135a857831a
143305db6c9
151cbae7730
hex11aeed7e1

4746827745 has 128 divisors (see below), whose sum is σ = 9813934080. Its totient is φ = 2153859840.

The previous prime is 4746827731. The next prime is 4746827753. The reversal of 4746827745 is 5477286474.

4746827745 is a `hidden beast` number, since 474 + 68 + 2 + 77 + 45 = 666.

4746827745 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4746827745 - 26 = 4746827681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4746827691 and 4746827700.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1603807 + ... + 1606763.

It is an arithmetic number, because the mean of its divisors is an integer number (76671360).

Almost surely, 24746827745 is an apocalyptic number.

4746827745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4746827745 is an abundant number, since it is smaller than the sum of its proper divisors (5067106335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4746827745 is a wasteful number, since it uses less digits than its factorization.

4746827745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3046 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The square root of 4746827745 is about 68897.2259601212. The cubic root of 4746827745 is about 1680.6134080182.

Subtracting 4746827745 from its reverse (5477286474), we obtain a square (730458729 = 270272).

The spelling of 4746827745 in words is "four billion, seven hundred forty-six million, eight hundred twenty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 47 55 69 99 115 135 141 165 207 235 253 297 345 423 495 517 621 705 759 1035 1081 1265 1269 1485 1551 2115 2277 2585 2957 3105 3243 3795 4653 5405 6345 6831 7755 8871 9729 11385 11891 13959 14785 16215 23265 26613 29187 32527 34155 35673 44355 48645 59455 68011 69795 79839 97581 107019 133065 138979 145935 162635 178365 204033 292743 321057 340055 399195 416937 487905 535095 612099 694895 748121 878229 1020165 1250811 1463715 1528769 1605285 1836297 2084685 2244363 3060495 3196517 3740605 3752433 4391145 4586307 6254055 6733089 7643845 9181485 9589551 11221815 13758921 15982585 18762165 20199267 22931535 28768653 33665445 35161687 41276763 47947755 68794605 86305959 100996335 105485061 143843265 175808435 206383815 316455183 431529795 527425305 949365549 1582275915 4746827745