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11416361334 = 2372263147647
BaseRepresentation
bin10101010000111011…
…11101100101110110
31002110121220020121120
422220131331211312
5141340042030314
65124500124410
7552623320200
oct125035754566
932417806546
1011416361334
114929269274
122267396706
1310cc2770c1
147a42d3770
1546c3d58a9
hex2a877d976

11416361334 has 48 divisors (see below), whose sum is σ = 26661685248. Its totient is φ = 3249393168.

The previous prime is 11416361311. The next prime is 11416361371. The reversal of 11416361334 is 43316361411.

It is a super-2 number, since 2×114163613342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11416361295 and 11416361304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3499 + ... + 151145.

It is an arithmetic number, because the mean of its divisors is an integer number (555451776).

Almost surely, 211416361334 is an apocalyptic number.

11416361334 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 11416361334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330842624).

11416361334 is an abundant number, since it is smaller than the sum of its proper divisors (15245323914).

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

11416361334 is a wasteful number, since it uses less digits than its factorization.

11416361334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147929 (or 147922 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The spelling of 11416361334 in words is "eleven billion, four hundred sixteen million, three hundred sixty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 263 294 526 789 1578 1841 3682 5523 11046 12887 25774 38661 77322 147647 295294 442941 885882 1033529 2067058 3100587 6201174 7234703 14469406 21704109 38831161 43408218 77662322 116493483 232986966 271818127 543636254 815454381 1630908762 1902726889 3805453778 5708180667 11416361334