Search a number
-
+
41663546416 = 24171397691433
BaseRepresentation
bin100110110011010101…
…110100010000110000
310222112121022110011201
4212303111310100300
51140311331441131
631050122220544
73003314205232
oct466325642060
9128477273151
1041663546416
111673aa93098
1280a9054754
133c0c90755b
1420334c4252
15113ca89761
hex9b3574430

41663546416 has 80 divisors (see below), whose sum is σ = 86258541600. Its totient is φ = 19426443264.

The previous prime is 41663546383. The next prime is 41663546479. The reversal of 41663546416 is 61464536614.

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, 29073636 + ... + 29075068.

It is an arithmetic number, because the mean of its divisors is an integer number (1078231770).

Almost surely, 241663546416 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 41663546416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43129270800).

41663546416 is an abundant number, since it is smaller than the sum of its proper divisors (44594995184).

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

41663546416 is a wasteful number, since it uses less digits than its factorization.

41663546416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2360 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The spelling of 41663546416 in words is "forty-one billion, six hundred sixty-three million, five hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 769 1112 1433 1538 2224 2363 2866 3076 4726 5732 6152 9452 11464 12304 13073 18904 22928 24361 26146 37808 48722 52292 97444 104584 106891 194888 199187 209168 213782 389776 398374 427564 796748 855128 1101977 1593496 1710256 1817147 2203954 3186992 3386179 3634294 4407908 6772358 7268588 8815816 13544716 14537176 17631632 18733609 27089432 29074352 37467218 54178864 74934436 149868872 153174803 299737744 306349606 612699212 1225398424 2450796848 2603971651 5207943302 10415886604 20831773208 41663546416