Search a number
-
+
11426717876 = 22721941671117
BaseRepresentation
bin10101010010001010…
…11110000010110100
31002111100101102010012
422221011132002310
5141400214433001
65125510115352
7553110333200
oct125105360264
932440342105
1011426717876
1149340a22a2
12226a94bb58
131101462032
147a582bb00
1546d27e2bb
hex2a915e0b4

11426717876 has 144 divisors (see below), whose sum is σ = 25480203840. Its totient is φ = 4454714880.

The previous prime is 11426717849. The next prime is 11426717891. The reversal of 11426717876 is 67871762411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10229270 + ... + 10230386.

It is an arithmetic number, because the mean of its divisors is an integer number (176945860).

Almost surely, 211426717876 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 11426717876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740101920).

11426717876 is an abundant number, since it is smaller than the sum of its proper divisors (14053485964).

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

11426717876 is a wasteful number, since it uses less digits than its factorization.

11426717876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1253 counting only the distinct ones).

The product of its digits is 790272, while the sum is 50.

The spelling of 11426717876 in words is "eleven billion, four hundred twenty-six million, seven hundred seventeen thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 41 49 67 76 82 98 133 134 164 196 266 268 287 469 532 574 779 931 938 1117 1148 1273 1558 1862 1876 2009 2234 2546 2747 3116 3283 3724 4018 4468 5092 5453 5494 6566 7819 8036 8911 10906 10988 13132 15638 17822 19229 21223 21812 31276 35644 38171 38458 42446 45797 52193 54733 62377 74839 76342 76916 84892 91594 104386 109466 124754 134603 148561 149678 152684 183188 208772 218932 249508 269206 297122 299356 320579 365351 523873 538412 594244 641158 730702 870143 1039927 1047746 1282316 1421941 1461404 1740286 2079854 2095492 2244053 2557457 2843882 3068399 3480572 3667111 4159708 4488106 5114914 5687764 6091001 6136798 7334222 8976212 9953587 10229828 12182002 12273596 14668444 19907174 21478793 24364004 39814348 42637007 42957586 58299581 69675109 85274014 85915172 116599162 139350218 150351551 170548028 233198324 278700436 300703102 408097067 601406204 816194134 1632388268 2856679469 5713358938 11426717876