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11030279796 = 223217191197479
BaseRepresentation
bin10100100010111010…
…01011011001110100
31001110201102021022100
422101131023121310
5140042222423141
65022305102100
7540224555064
oct122135133164
931421367270
1011030279796
11475033a518
12217a027930
13106a299aa3
14768d133a4
154485710b6
hex29174b674

11030279796 has 144 divisors (see below), whose sum is σ = 29889699840. Its totient is φ = 3417738240.

The previous prime is 11030279773. The next prime is 11030279803. The reversal of 11030279796 is 69797203011.

11030279796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 23027485 + ... + 23027963.

It is an arithmetic number, because the mean of its divisors is an integer number (207567360).

Almost surely, 211030279796 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 11030279796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944849920).

11030279796 is an abundant number, since it is smaller than the sum of its proper divisors (18859420044).

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

11030279796 is a wasteful number, since it uses less digits than its factorization.

11030279796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 11030279796 in words is "eleven billion, thirty million, two hundred seventy-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 191 197 204 306 382 394 479 573 591 612 764 788 958 1146 1182 1437 1719 1773 1916 2292 2364 2874 3247 3349 3438 3546 4311 5748 6494 6698 6876 7092 8143 8622 9741 10047 12988 13396 16286 17244 19482 20094 24429 29223 30141 32572 37627 38964 40188 48858 58446 60282 73287 75254 91489 94363 97716 112881 116892 120564 146574 150508 182978 188726 225762 274467 283089 293148 338643 365956 377452 451524 548934 566178 639659 677286 823401 849267 1097868 1132356 1279318 1354572 1555313 1604171 1646802 1698534 1918977 2558636 3110626 3208342 3293604 3397068 3837954 4665939 4812513 5756931 6221252 6416684 7675908 9331878 9625026 11513862 13997817 14437539 18023333 18663756 19250052 23027724 27995634 28875078 36046666 54069999 55991268 57750156 72093332 108139998 162209997 216279996 306396661 324419994 612793322 648839988 919189983 1225586644 1838379966 2757569949 3676759932 5515139898 11030279796