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16140528648 = 23323713014657
BaseRepresentation
bin11110000100000110…
…01110110000001000
31112122212020210212100
433002003032300020
5231023433404043
611225335313400
71110656141556
oct170203166010
945585223770
1016140528648
1169329a9082
12316551b860
1316a2c1a08a
14ad18b2bd6
15647003cd3
hex3c20cec08

16140528648 has 96 divisors (see below), whose sum is σ = 44939545560. Its totient is φ = 5229619200.

The previous prime is 16140528647. The next prime is 16140528653. The reversal of 16140528648 is 84682504161.

It is a happy number.

16140528648 is a `hidden beast` number, since 1 + 61 + 4 + 0 + 528 + 64 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8578834884 + 7561693764 = 92622^2 + 86958^2 .

It is not an unprimeable number, because it can be changed into a prime (16140528647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3463536 + ... + 3468192.

Almost surely, 216140528648 is an apocalyptic number.

16140528648 is a gapful number since it is divisible by the number (18) 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 16140528648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469772780).

16140528648 is an abundant number, since it is smaller than the sum of its proper divisors (28799016912).

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

16140528648 is a wasteful number, since it uses less digits than its factorization.

16140528648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16140528648 in words is "sixteen billion, one hundred forty million, five hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1301 1332 2602 2664 3903 4657 5204 7806 9314 10408 11709 13971 15612 18628 23418 27942 31224 37256 41913 46836 48137 55884 83826 93672 96274 111768 144411 167652 172309 192548 288822 335304 344618 385096 433233 516927 577644 689236 866466 1033854 1155288 1378472 1550781 1732932 2067708 3101562 3465864 4135416 6058757 6203124 12117514 12406248 18176271 24235028 36352542 48470056 54528813 72705084 109057626 145410168 218115252 224174009 436230504 448348018 672522027 896696036 1345044054 1793392072 2017566081 2690088108 4035132162 5380176216 8070264324 16140528648