Search a number
-
+
94065416368 = 24711419411979
BaseRepresentation
bin101011110011010111…
…1000101100010110000
322222210120200020221221
41113212233011202300
53020121221310433
6111114004154424
76540012563260
oct1274657054260
9288716606857
1094065416368
1136990525630
1216292398a14
138b411690b1
1447a4bdd7a0
1526a822472d
hex15e6bc58b0

94065416368 has 160 divisors (see below), whose sum is σ = 233130078720. Its totient is φ = 35698944000.

The previous prime is 94065416329. The next prime is 94065416383. The reversal of 94065416368 is 86361456049.

It is a happy number.

It is a super-2 number, since 2×940654163682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 47530803 + ... + 47532781.

It is an arithmetic number, because the mean of its divisors is an integer number (1457062992).

Almost surely, 294065416368 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 94065416368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116565039360).

94065416368 is an abundant number, since it is smaller than the sum of its proper divisors (139064662352).

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

94065416368 is a wasteful number, since it uses less digits than its factorization.

94065416368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 94065416368 in words is "ninety-four billion, sixty-five million, four hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 941 1148 1232 1804 1882 1979 2296 3157 3608 3764 3958 4592 6314 6587 7216 7528 7916 10351 12628 13174 13853 15056 15832 20702 21769 25256 26348 27706 31664 38581 41404 43538 50512 52696 55412 72457 77162 81139 82808 87076 105392 110824 144914 152383 154324 162278 165616 174152 221648 270067 289828 304766 308648 324556 348304 424391 540134 567973 579656 609532 617296 649112 848782 892529 1080268 1135946 1159312 1219064 1298224 1697564 1785058 1862239 2160536 2271892 2438128 2970737 3395128 3570116 3724478 4321072 4543784 5941474 6247703 6790256 7140232 7448956 9087568 11882948 12495406 13035673 14280464 14897912 20484629 23765896 24990812 26071346 29795824 40969258 47531792 49981624 52142692 76351799 81938516 99963248 104285384 143392403 152703598 163877032 208570768 286784806 305407196 327754064 534462593 573569612 610814392 839869789 1068925186 1147139224 1221628784 1679739578 2137850372 2294278448 3359479156 4275700744 5879088523 6718958312 8551401488 11758177046 13437916624 23516354092 47032708184 94065416368