Search a number
-
+
11005147777776 = 243355916441907
BaseRepresentation
bin1010000000100101010111…
…1011001000101011110000
31102222002012200002212212120
42200021111323020223300
52420302020312342101
635223410050154240
72214044551443645
oct240112573105360
942862180085776
1011005147777776
113563291020609
121298a55882980
1361aa1ca841c9
142a091b103dcc
151414085a1b36
hexa0255ec8af0

11005147777776 has 40 divisors (see below), whose sum is σ = 28430768302464. Its totient is φ = 3668278952640.

The previous prime is 11005147777763. The next prime is 11005147777807. The reversal of 11005147777776 is 67777774150011.

It is a super-2 number, since 2×110051477777762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1512586 + ... + 4929321.

Almost surely, 211005147777776 is an apocalyptic number.

11005147777776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11005147777776 is an abundant number, since it is smaller than the sum of its proper divisors (17425620524688).

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

11005147777776 is a wasteful number, since it uses less digits than its factorization.

11005147777776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477509 (or 6477503 counting only the distinct ones).

The product of its (nonzero) digits is 14117880, while the sum is 60.

The spelling of 11005147777776 in words is "eleven trillion, five billion, one hundred forty-seven million, seven hundred seventy-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 35591 71182 106773 142364 213546 284728 427092 569456 854184 1708368 6441907 12883814 19325721 25767628 38651442 51535256 77302884 103070512 154605768 309211536 229273912037 458547824074 687821736111 917095648148 1375643472222 1834191296296 2751286944444 3668382592592 5502573888888 11005147777776