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19016143056 = 24325311532161
BaseRepresentation
bin10001101101011100…
…110101000011010000
31211002021020011020200
4101231130311003100
5302421113034211
612422541535200
71242144356211
oct215534650320
954067204220
1019016143056
118079131809
123828574500
131a40900471
14cc577b408
157646c7b56
hex46d7350d0

19016143056 has 120 divisors (see below), whose sum is σ = 54295058376. Its totient is φ = 6210846720.

The previous prime is 19016143051. The next prime is 19016143057. The reversal of 19016143056 is 65034161091.

19016143056 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 614 + 30 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8383233600 + 10632909456 = 91560^2 + 103116^2 .

It is a super-2 number, since 2×190161430562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 19016143056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19016143051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8798616 + ... + 8800776.

Almost surely, 219016143056 is an apocalyptic number.

19016143056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19016143056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147529188).

19016143056 is an abundant number, since it is smaller than the sum of its proper divisors (35278915320).

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

19016143056 is a wasteful number, since it uses less digits than its factorization.

19016143056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 19016143056 in words is "nineteen billion, sixteen million, one hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1153 1272 1908 2161 2306 2544 3459 3816 4322 4612 6483 6918 7632 8644 9224 10377 12966 13836 17288 18448 19449 20754 25932 27672 34576 38898 41508 51864 55344 61109 77796 83016 103728 114533 122218 155592 166032 183327 229066 244436 311184 343599 366654 458132 488872 549981 687198 733308 916264 977744 1030797 1099962 1374396 1466616 1832528 2061594 2199924 2491633 2748792 2933232 4123188 4399848 4983266 5497584 7474899 8246376 8799696 9966532 14949798 16492752 19933064 22424697 29899596 39866128 44849394 59799192 89698788 119598384 132056549 179397576 264113098 358795152 396169647 528226196 792339294 1056452392 1188508941 1584678588 2112904784 2377017882 3169357176 4754035764 6338714352 9508071528 19016143056