Search a number
-
+
41216202664 = 23713233712923
BaseRepresentation
bin100110011000101011…
…010101011110101000
310221101102120000220121
4212120223111132220
51133402321441124
630533502133024
72656242641110
oct463053253650
9127342500817
1041216202664
111653052110a
127ba3281174
133b6b02a900
141dcdd18040
1511136732e4
hex998ad57a8

41216202664 has 96 divisors (see below), whose sum is σ = 95928131520. Its totient is φ = 16255669248.

The previous prime is 41216202647. The next prime is 41216202707. The reversal of 41216202664 is 46620261214.

41216202664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3182907 + ... + 3195829.

It is an arithmetic number, because the mean of its divisors is an integer number (999251370).

Almost surely, 241216202664 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 41216202664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47964065760).

41216202664 is an abundant number, since it is smaller than the sum of its proper divisors (54711928856).

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

41216202664 is a wasteful number, since it uses less digits than its factorization.

41216202664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 41216202664 its reverse (46620261214), we get a palindrome (87836463878).

The spelling of 41216202664 in words is "forty-one billion, two hundred sixteen million, two hundred two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 337 338 364 674 676 728 1183 1348 1352 2359 2366 2696 4381 4718 4732 8762 9436 9464 12923 17524 18872 25846 30667 35048 51692 56953 61334 90461 103384 113906 122668 167999 180922 227812 245336 335998 361844 398671 455624 671996 723688 797342 1175993 1343992 1594684 2183987 2351986 3189368 4355051 4367974 4703972 8710102 8735948 9407944 15287909 17420204 17471896 30485357 30575818 34840408 56615663 60970714 61151636 113231326 121941428 122303272 226462652 243882856 396309641 452925304 736003619 792619282 1472007238 1585238564 2944014476 3170477128 5152025333 5888028952 10304050666 20608101332 41216202664