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1665083616 = 25375346751
BaseRepresentation
bin110001100111111…
…0010100011100000
311022001011000022120
41203033302203200
511402230133431
6433120304240
756155656120
oct14317624340
94261130276
101665083616
11784994a69
123a5772080
13206c728a1
1411b1d6c80
159b2a8196
hex633f28e0

1665083616 has 96 divisors (see below), whose sum is σ = 5089609728. Its totient is φ = 466752000.

The previous prime is 1665083611. The next prime is 1665083621. The reversal of 1665083616 is 6163805661.

It is an interprime number because it is at equal distance from previous prime (1665083611) and next prime (1665083621).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1665083611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12241 + ... + 58991.

It is an arithmetic number, because the mean of its divisors is an integer number (53016768).

Almost surely, 21665083616 is an apocalyptic number.

1665083616 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 1665083616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544804864).

1665083616 is an abundant number, since it is smaller than the sum of its proper divisors (3424526112).

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

1665083616 is a wasteful number, since it uses less digits than its factorization.

1665083616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46824 (or 46816 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1665083616 is about 40805.4361084403. The cubic root of 1665083616 is about 1185.2555997628.

The spelling of 1665083616 in words is "one billion, six hundred sixty-five million, eighty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 46751 93502 140253 187004 280506 327257 374008 561012 654514 748016 981771 1122024 1309028 1496032 1963542 2244048 2477803 2618056 3927084 4488096 4955606 5236112 7433409 7854168 9911212 10472224 14866818 15708336 17344621 19822424 29733636 31416672 34689242 39644848 52033863 59467272 69378484 79289696 104067726 118934544 138756968 208135452 237869088 277513936 416270904 555027872 832541808 1665083616