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11363081814 = 233773341011
BaseRepresentation
bin10101001010100101…
…01101111001010110
31002022220122100212000
422211102231321112
5141232422104224
65115314140130
7551405413260
oct124522557126
932286570760
1011363081814
114901188607
122251581646
1310c1211066
1479b1c4b30
154678ae0c9
hex2a54ade56

11363081814 has 64 divisors (see below), whose sum is σ = 28898695680. Its totient is φ = 3242086560.

The previous prime is 11363081801. The next prime is 11363081819. The reversal of 11363081814 is 41818036311.

11363081814 is a `hidden beast` number, since 1 + 1 + 3 + 630 + 8 + 1 + 8 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11363081819) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256569 + ... + 297579.

It is an arithmetic number, because the mean of its divisors is an integer number (451542120).

Almost surely, 211363081814 is an apocalyptic number.

11363081814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11363081814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449347840).

11363081814 is an abundant number, since it is smaller than the sum of its proper divisors (17535613866).

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

11363081814 is a wasteful number, since it uses less digits than its factorization.

11363081814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41762 (or 41756 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11363081814 in words is "eleven billion, three hundred sixty-three million, eighty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 733 1466 2199 4398 5131 6597 10262 13194 15393 19791 30786 39582 41011 46179 82022 92358 123033 138537 246066 277074 287077 369099 574154 738198 861231 1107297 1722462 2214594 2583693 5167386 7751079 15502158 30061063 60122126 90183189 180366378 210427441 270549567 420854882 541099134 631282323 811648701 1262564646 1623297402 1893846969 3787693938 5681540907 11363081814