Search a number
-
+
45342312210 = 23251338754113
BaseRepresentation
bin101010001110100111…
…001100011100010010
311100000222120010010200
4222032213030130102
51220330112442320
632455135040030
73163424203026
oct521647143422
9140028503120
1045342312210
111825860a2a8
128955070016
134377b05050
1422a1cd8386
1512a5a09290
hexa8e9cc712

45342312210 has 48 divisors (see below), whose sum is σ = 126958477464. Its totient is φ = 11161184256.

The previous prime is 45342312193. The next prime is 45342312233. The reversal of 45342312210 is 1221324354.

45342312210 is a `hidden beast` number, since 4 + 5 + 342 + 312 + 2 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12174253569 + 33168058641 = 110337^2 + 182121^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19375887 + ... + 19378226.

Almost surely, 245342312210 is an apocalyptic number.

45342312210 is an abundant number, since it is smaller than the sum of its proper divisors (81616165254).

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

45342312210 is a wasteful number, since it uses less digits than its factorization.

45342312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38754139 (or 38754136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 45342312210 its reverse (1221324354), we get a palindrome (46563636564).

The spelling of 45342312210 in words is "forty-five billion, three hundred forty-two million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 38754113 77508226 116262339 193770565 232524678 348787017 387541130 503803469 581311695 697574034 1007606938 1162623390 1511410407 1743935085 2519017345 3022820814 3487870170 4534231221 5038034690 7557052035 9068462442 15114104070 22671156105 45342312210