Search a number
-
+
41566450288 = 24112955714621
BaseRepresentation
bin100110101101100011…
…011011001001110000
310222021211121110022211
4212231203123021300
51140112002402123
631032333141504
73001024666156
oct465543331160
9128254543284
1041566450288
11166a01a5360
12808062a894
133bc576c71c
14202464b3d6
1511342aa40d
hex9ad8db270

41566450288 has 80 divisors (see below), whose sum is σ = 91055288160. Its totient is φ = 18208332800.

The previous prime is 41566450279. The next prime is 41566450297. The reversal of 41566450288 is 88205466514.

41566450288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41566450279) and next prime (41566450297).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835618 + ... + 2850238.

It is an arithmetic number, because the mean of its divisors is an integer number (1138191102).

Almost surely, 241566450288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41566450288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45527644080).

41566450288 is an abundant number, since it is smaller than the sum of its proper divisors (49488837872).

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

41566450288 is a wasteful number, since it uses less digits than its factorization.

41566450288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15226 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 41566450288 in words is "forty-one billion, five hundred sixty-six million, four hundred fifty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 557 638 1114 1276 2228 2552 4456 5104 6127 8912 12254 14621 16153 24508 29242 32306 49016 58484 64612 98032 116968 129224 160831 177683 233936 258448 321662 355366 424009 643324 710732 848018 1286648 1421464 1696036 2573296 2842928 3392072 4664099 6784144 8143897 9328198 16287794 18656396 32575588 37312792 65151176 74625584 89582867 130302352 179165734 236173013 358331468 472346026 716662936 944692052 1433325872 1889384104 2597903143 3778768208 5195806286 10391612572 20783225144 41566450288