Search a number
-
+
4354644645 = 345134120173
BaseRepresentation
bin1000000111000111…
…01001101010100101
3102020111000212110000
410003203221222211
532404242112040
62000035051513
7212624603661
oct40343515245
912214025400
104354644645
1119350a0a7a
12a16440b99
13545242a10
142d44ad8a1
151a747a130
hex1038e9aa5

4354644645 has 80 divisors (see below), whose sum is σ = 8612038512. Its totient is φ = 2091432960.

The previous prime is 4354644631. The next prime is 4354644661. The reversal of 4354644645 is 5464464534.

4354644645 is a `hidden beast` number, since 4 + 3 + 546 + 44 + 64 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 134583201 + 4220061444 = 11601^2 + 64962^2 .

It is not a de Polignac number, because 4354644645 - 24 = 4354644629 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 4354644645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205779 + ... + 225951.

Almost surely, 24354644645 is an apocalyptic number.

4354644645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4354644645 is a deficient number, since it is larger than the sum of its proper divisors (4257393867).

4354644645 is a wasteful number, since it uses less digits than its factorization.

4354644645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20244 (or 20235 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The square root of 4354644645 is about 65989.7313602654. The cubic root of 4354644645 is about 1632.9926885285.

The spelling of 4354644645 in words is "four billion, three hundred fifty-four million, six hundred forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 41 45 65 81 117 123 135 195 205 351 369 405 533 585 615 1053 1107 1599 1755 1845 2665 3321 4797 5265 5535 7995 14391 16605 20173 23985 43173 60519 71955 100865 181557 215865 262249 302595 544671 786747 827093 907785 1311245 1634013 2360241 2481279 2723355 3933735 4135465 7080723 7443837 8170065 10752209 11801205 12406395 21242169 22331511 32256627 35403615 37219185 53761045 66994533 96769881 106210845 111657555 161283135 290309643 334972665 483849405 870928929 1451548215 4354644645