Search a number
-
+
35044442055 = 325734215393
BaseRepresentation
bin100000101000110011…
…111011111111000111
310100110022022002222100
4200220303323333013
51033232334121210
624033232003143
72350301562000
oct405063737707
9110408262870
1035044442055
1113953746007
1269603904b3
1333c64b435c
1419a63981a7
15da190d5c0
hex828cfbfc7

35044442055 has 96 divisors (see below), whose sum is σ = 71019561600. Its totient is φ = 15979299840.

The previous prime is 35044442047. The next prime is 35044442057. The reversal of 35044442055 is 55024444053.

35044442055 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 444 + 205 + 5 = 666.

It is not a de Polignac number, because 35044442055 - 23 = 35044442047 is a prime.

It is a super-2 number, since 2×350444420552 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35044442057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6495439 + ... + 6500831.

It is an arithmetic number, because the mean of its divisors is an integer number (739787100).

Almost surely, 235044442055 is an apocalyptic number.

35044442055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35044442055 is an abundant number, since it is smaller than the sum of its proper divisors (35975119545).

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

35044442055 is a wasteful number, since it uses less digits than its factorization.

35044442055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 35044442055 in words is "thirty-five billion, forty-four million, four hundred forty-two thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 421 441 735 1029 1263 1715 2105 2205 2947 3087 3789 5145 5393 6315 8841 14735 15435 16179 18945 20629 26523 26965 37751 44205 48537 61887 80895 103145 113253 132615 144403 185661 188755 242685 264257 309435 339759 433209 566265 722015 792771 928305 1299627 1321285 1698795 1849799 2166045 2270453 2378313 3963855 5549397 6498135 6811359 9248995 11352265 11891565 15893171 16648191 20434077 27746985 34056795 47679513 79465855 83240955 102170385 111252197 143038539 238397565 333756591 556260985 715192695 778765379 1001269773 1668782955 2336296137 3893826895 5006348865 7008888411 11681480685 35044442055