Search a number
-
+
45721710099 = 321310114832609
BaseRepresentation
bin101010100101001110…
…011110111000010011
311101000102110112012100
4222211032132320103
51222114224210344
633000530531443
73206012060232
oct524516367023
9141012415170
1045721710099
111843279357a
128a40136b83
1344085b2140
1422da458b19
1512c8e9d569
hexaa539ee13

45721710099 has 48 divisors (see below), whose sum is σ = 71902827360. Its totient is φ = 27828403200.

The previous prime is 45721710077. The next prime is 45721710109. The reversal of 45721710099 is 99001712754.

45721710099 is a `hidden beast` number, since 4 + 572 + 1 + 71 + 0 + 0 + 9 + 9 = 666.

It is not a de Polignac number, because 45721710099 - 221 = 45719612947 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45721710899) 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 47 ways as a sum of consecutive naturals, for example, 17523307 + ... + 17525915.

It is an arithmetic number, because the mean of its divisors is an integer number (1497975570).

Almost surely, 245721710099 is an apocalyptic number.

45721710099 is a deficient number, since it is larger than the sum of its proper divisors (26181117261).

45721710099 is a wasteful number, since it uses less digits than its factorization.

45721710099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 45721710099 in words is "forty-five billion, seven hundred twenty-one million, seven hundred ten thousand, ninety-nine".

Divisors: 1 3 9 13 39 101 117 303 909 1313 1483 2609 3939 4449 7827 11817 13347 19279 23481 33917 57837 101751 149783 173511 263509 305253 449349 790527 1348047 1947179 2371581 3425617 3869147 5841537 10276851 11607441 17524611 30830553 34822323 50298911 150896733 390783847 452690199 1172351541 3517054623 5080190011 15240570033 45721710099