Search a number
-
+
45511445331 = 32111737219753
BaseRepresentation
bin101010011000101100…
…011000101101010011
311100110202210222011100
4222120230120231103
51221201412222311
632524020115443
73200546621352
oct523054305523
9140422728140
1045511445331
111833502a540
1289a1835b83
1343a3b72911
1422ba563999
1512b57b7a56
hexa98b18b53

45511445331 has 72 divisors (see below), whose sum is σ = 78045209424. Its totient is φ = 25257277440.

The previous prime is 45511445327. The next prime is 45511445333. The reversal of 45511445331 is 13354411554.

45511445331 is a `hidden beast` number, since 4 + 5 + 5 + 114 + 4 + 533 + 1 = 666.

It is not a de Polignac number, because 45511445331 - 22 = 45511445327 is a prime.

It is a super-2 number, since 2×455114453312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45511445333) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2294151 + ... + 2313903.

It is an arithmetic number, because the mean of its divisors is an integer number (1083961242).

Almost surely, 245511445331 is an apocalyptic number.

45511445331 is a deficient number, since it is larger than the sum of its proper divisors (32533764093).

45511445331 is a wasteful number, since it uses less digits than its factorization.

45511445331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861 (or 19821 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 45511445331 its reverse (13354411554), we get a palindrome (58865856885).

The spelling of 45511445331 in words is "forty-five billion, five hundred eleven million, four hundred forty-five thousand, three hundred thirty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1369 1683 1887 3663 4107 5661 6919 12321 15059 19753 20757 23273 45177 59259 62271 69819 135531 177777 209457 217283 256003 335801 651849 730861 768009 1007403 1955547 2192583 2304027 3022209 3693811 6577749 8039471 11081433 12424637 24118413 27041857 33244299 37273911 72355239 81125571 111821733 136671007 243376713 297460427 410013021 459711569 892381281 1230039063 1379134707 2677143843 4137404121 5056827259 15170481777 45511445331