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11014448007078 = 23223591231366313
BaseRepresentation
bin1010000001001000000001…
…0000101100011110100110
31102222222012211010111001200
42200102000100230132212
52420430042142211303
635231544554303330
72214524201211045
oct240220020543646
942888184114050
1011014448007078
11356722383252a
12129a810427b46
1361b8727b2779
142a116034c55c
1514179ecd53a3
hexa048042c7a6

11014448007078 has 96 divisors (see below), whose sum is σ = 25344943303680. Its totient is φ = 3449516146560.

The previous prime is 11014448007071. The next prime is 11014448007103. The reversal of 11014448007078 is 87070084441011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014448007071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29885250 + ... + 30251562.

It is an arithmetic number, because the mean of its divisors is an integer number (264009826080).

Almost surely, 211014448007078 is an apocalyptic number.

11014448007078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014448007078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672471651840).

11014448007078 is an abundant number, since it is smaller than the sum of its proper divisors (14330495296602).

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

11014448007078 is a wasteful number, since it uses less digits than its factorization.

11014448007078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367634 (or 367631 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 11014448007078 in words is "eleven trillion, fourteen billion, four hundred forty-eight million, seven thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 23 46 59 69 118 138 177 207 354 414 531 1062 1231 1357 2462 2714 3693 4071 7386 8142 11079 12213 22158 24426 28313 56626 72629 84939 145258 169878 217887 254817 366313 435774 509634 653661 732626 1098939 1307322 1670467 2197878 3296817 3340934 5011401 6593634 8425199 10022802 15034203 16850398 21612467 25275597 30068406 43224934 50551194 64837401 75826791 129674802 151653582 194512203 389024406 450931303 497086741 901862606 994173482 1352793909 1491260223 2705587818 2982520446 4058381727 4473780669 8116763454 8947561338 10371419969 20742839938 26604946877 31114259907 53209893754 62228519814 79814840631 93342779721 159629681262 186685559442 239444521893 478889043786 611913778171 1223827556342 1835741334513 3671482669026 5507224003539 11014448007078