Search a number
-
+
11046083496 = 2337613073511
BaseRepresentation
bin10100100100110010…
…11101101110101000
31001111211011011220120
422102121131232220
5140110244132441
65024031523240
7540506106030
oct122231355650
931454134816
1011046083496
114759254028
122183389520
1310706411a6
1476b0688c0
15449b43966
hex29265dba8

11046083496 has 128 divisors (see below), whose sum is σ = 32191272960. Its totient is φ = 3093292800.

The previous prime is 11046083479. The next prime is 11046083501. The reversal of 11046083496 is 69438064011.

11046083496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144381 + ... + 3147891.

It is an arithmetic number, because the mean of its divisors is an integer number (251494320).

Almost surely, 211046083496 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 11046083496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095636480).

11046083496 is an abundant number, since it is smaller than the sum of its proper divisors (21145189464).

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

11046083496 is a wasteful number, since it uses less digits than its factorization.

11046083496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 11046083496 in words is "eleven billion, forty-six million, eighty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 307 366 427 488 614 732 854 921 1228 1281 1464 1708 1842 2149 2456 2562 3416 3511 3684 4298 5124 6447 7022 7368 8596 10248 10533 12894 14044 17192 18727 21066 24577 25788 28088 37454 42132 49154 51576 56181 73731 74908 84264 98308 112362 131089 147462 149816 196616 214171 224724 262178 294924 393267 428342 449448 524356 589848 642513 786534 856684 1048712 1077877 1285026 1499197 1573068 1713368 2155754 2570052 2998394 3146136 3233631 4311508 4497591 5140104 5996788 6467262 7545139 8623016 8995182 11993576 12934524 15090278 17990364 22635417 25869048 30180556 35980728 45270834 60361112 65750497 90541668 131500994 181083336 197251491 263001988 394502982 460253479 526003976 789005964 920506958 1380760437 1578011928 1841013916 2761520874 3682027832 5523041748 11046083496