Search a number
-
+
44885682006 = 23113135396199
BaseRepresentation
bin101001110011011001…
…010010011101010110
311021212011022220020220
4221303121102131112
51213411213311011
632341543535210
73146211000444
oct516331223526
9137764286226
1044885682006
1118043885270
12884815a506
134304326569
14225b3d1b94
15127a8ab506
hexa73652756

44885682006 has 64 divisors (see below), whose sum is σ = 101136384000. Its totient is φ = 13157114400.

The previous prime is 44885682001. The next prime is 44885682011. The reversal of 44885682006 is 60028658844.

It is an interprime number because it is at equal distance from previous prime (44885682001) and next prime (44885682011).

It is a self number, because there is not a number n which added to its sum of digits gives 44885682006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44885682001) 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 31 ways as a sum of consecutive naturals, for example, 7237695 + ... + 7243893.

It is an arithmetic number, because the mean of its divisors is an integer number (1580256000).

Almost surely, 244885682006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44885682006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50568192000).

44885682006 is an abundant number, since it is smaller than the sum of its proper divisors (56250701994).

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

44885682006 is a wasteful number, since it uses less digits than its factorization.

44885682006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785.

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 44885682006 in words is "forty-four billion, eight hundred eighty-five million, six hundred eighty-two thousand, six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 3539 6199 7078 10617 12398 18597 21234 37194 38929 68189 77858 109709 116787 136378 192169 204567 219418 233574 329127 384338 409134 576507 658254 1153014 1206799 2113859 2413598 3620397 4227718 6341577 7240794 12683154 21938261 43876522 65814783 131629566 241320871 482641742 680086091 723962613 1360172182 1447925226 2040258273 4080516546 7480947001 14961894002 22442841003 44885682006