Search a number
-
+
11135054216 = 231113231373089
BaseRepresentation
bin10100101111011001…
…10111000110001000
31001202000120100210102
422113230313012020
5140301033213331
65040530504532
7542636253626
oct122754670610
931660510712
1011135054216
1147a44a2050
1221a9135148
131085bc27a0
14778bc8516
1545286a4cb
hex297b37188

11135054216 has 128 divisors (see below), whose sum is σ = 25789881600. Its totient is φ = 4434862080.

The previous prime is 11135054191. The next prime is 11135054233. The reversal of 11135054216 is 61245053111.

11135054216 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 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, 3603200 + ... + 3606288.

It is an arithmetic number, because the mean of its divisors is an integer number (201483450).

Almost surely, 211135054216 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 11135054216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894940800).

11135054216 is an abundant number, since it is smaller than the sum of its proper divisors (14654827384).

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

11135054216 is a wasteful number, since it uses less digits than its factorization.

11135054216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 11135054216 in words is "eleven billion, one hundred thirty-five million, fifty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 137 143 184 253 274 286 299 506 548 572 598 1012 1096 1144 1196 1507 1781 2024 2392 3014 3089 3151 3289 3562 6028 6178 6302 6578 7124 12056 12356 12604 13156 14248 19591 24712 25208 26312 33979 34661 39182 40157 40963 67958 69322 71047 78364 80314 81926 135916 138644 142094 156728 160628 163852 271832 277288 284188 321256 327704 423193 441727 450593 568376 781517 846386 883454 901186 923611 1563034 1692772 1766908 1802372 1847222 3126068 3385544 3533816 3604744 3694444 4655123 5501509 6252136 7388888 9310246 9733439 10159721 11003018 18620492 19466878 20319442 22006036 37240984 38933756 40638884 44012072 60516599 77867512 81277768 107067829 121033198 126534707 214135658 242066396 253069414 428271316 484132792 506138828 856542632 1012277656 1391881777 2783763554 5567527108 11135054216