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16554319344 = 2432538572531
BaseRepresentation
bin11110110101011011…
…01101110111110000
31120201200212112222200
433122231231313300
5232400401204334
611334400303200
71124142251463
oct173255556760
946650775880
1016554319344
117025533162
123260011b00
13173a879744
14b308272da
1566d4dd799
hex3dab6ddf0

16554319344 has 120 divisors (see below), whose sum is σ = 47276987472. Its totient is φ = 5405537280.

The previous prime is 16554319337. The next prime is 16554319351. The reversal of 16554319344 is 44391345561.

16554319344 is a `hidden beast` number, since 1 + 6 + 554 + 3 + 1 + 93 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16554319337) and next prime (16554319351).

It is a self number, because there is not a number n which added to its sum of digits gives 16554319344.

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, 6539359 + ... + 6541889.

Almost surely, 216554319344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16554319344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23638493736).

16554319344 is an abundant number, since it is smaller than the sum of its proper divisors (30722668128).

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

16554319344 is a wasteful number, since it uses less digits than its factorization.

16554319344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3446 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 16554319344 in words is "sixteen billion, five hundred fifty-four million, three hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 857 954 1272 1714 1908 2531 2544 2571 3428 3816 5062 5142 6856 7593 7632 7713 10124 10284 13712 15186 15426 20248 20568 22779 30372 30852 40496 41136 45421 45558 60744 61704 90842 91116 121488 123408 134143 136263 181684 182232 268286 272526 363368 364464 402429 408789 536572 545052 726736 804858 817578 1073144 1090104 1207287 1609716 1635156 2146288 2169067 2180208 2414574 3219432 3270312 4338134 4829148 6438864 6507201 6540624 8676268 9658296 13014402 17352536 19316592 19521603 26028804 34705072 39043206 52057608 78086412 104115216 114960551 156172824 229921102 312345648 344881653 459842204 689763306 919684408 1034644959 1379526612 1839368816 2069289918 2759053224 4138579836 5518106448 8277159672 16554319344