Search a number
-
+
45606413127 = 31119315939769
BaseRepresentation
bin101010011110010110…
…101010001101000111
311100201101111211111010
4222132112222031013
51221400220210002
632541251413303
73203112054402
oct523626521507
9140641454433
1045606413127
11183836a4220
128a095b4233
1343ba743a92
1422c9004d39
1512bdcc646c
hexa9e5aa347

45606413127 has 64 divisors (see below), whose sum is σ = 73304064000. Its totient is φ = 24910675200.

The previous prime is 45606413119. The next prime is 45606413129. The reversal of 45606413127 is 72131460654.

It is a happy number.

It is not a de Polignac number, because 45606413127 - 23 = 45606413119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45606413129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1126899 + ... + 1166667.

It is an arithmetic number, because the mean of its divisors is an integer number (1145376000).

Almost surely, 245606413127 is an apocalyptic number.

45606413127 is a deficient number, since it is larger than the sum of its proper divisors (27697650873).

45606413127 is a wasteful number, since it uses less digits than its factorization.

45606413127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39892.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 45606413127 in words is "forty-five billion, six hundred six million, four hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 3 11 19 31 33 57 59 93 177 209 341 589 627 649 1023 1121 1767 1829 1947 3363 5487 6479 12331 19437 20119 34751 36993 39769 60357 104253 119307 382261 437459 755611 1146783 1232839 1312377 2266833 2346371 3698517 7039113 8311721 13561229 23423941 24935163 25810081 40683687 44581049 70271823 72737501 77430243 133743147 218212503 257663351 490391539 772990053 800112511 1382012519 1471174617 2400337533 4146037557 15202137709 45606413127