Search a number
-
+
11094060510 = 23851313007
BaseRepresentation
bin10100101010100000…
…11110110111011110
31001122011102200000000
422111100132313132
5140210034414020
65032504115130
7541630646511
oct122520366736
931564380000
1011094060510
114783342955
122197465aa6
13107a56b860
14773596d78
1544de6e090
hex29541edde

11094060510 has 144 divisors (see below), whose sum is σ = 32258955456. Its totient is φ = 2730635712.

The previous prime is 11094060503. The next prime is 11094060517. The reversal of 11094060510 is 1506049011.

11094060510 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 40 + 605 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (11094060503) and next prime (11094060517).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11094060517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 846427 + ... + 859433.

It is an arithmetic number, because the mean of its divisors is an integer number (224020524).

Almost surely, 211094060510 is an apocalyptic number.

11094060510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11094060510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129477728).

11094060510 is an abundant number, since it is smaller than the sum of its proper divisors (21164894946).

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

11094060510 is an equidigital number, since it uses as much as digits as its factorization.

11094060510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11094060510 in words is "eleven billion, ninety-four million, sixty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 810 1053 1170 1215 1458 1755 2106 2187 2430 3159 3510 3645 4374 5265 6318 6561 7290 9477 10530 10935 13007 13122 15795 18954 21870 26014 28431 31590 32805 39021 47385 56862 65035 65610 78042 85293 94770 117063 130070 142155 169091 170586 195105 234126 284310 338182 351189 390210 426465 507273 585315 702378 845455 852930 1014546 1053567 1170630 1521819 1690910 1755945 2107134 2536365 3043638 3160701 3511890 4565457 5072730 5267835 6321402 7609095 9130914 9482103 10535670 13696371 15218190 15803505 18964206 22827285 27392742 28446309 31607010 41089113 45654570 47410515 56892618 68481855 82178226 85338927 94821030 123267339 136963710 142231545 170677854 205445565 246534678 284463090 369802017 410891130 426694635 616336695 739604034 853389270 1109406051 1232673390 1849010085 2218812102 3698020170 5547030255 11094060510