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3689694216 = 2332135374377
BaseRepresentation
bin1101101111101100…
…0100010000001000
3100112010210212221100
43123323010100020
530024030203331
61410042541400
7160301611665
oct33373042010
910463725840
103689694216
11162381096a
1286b807860
1346a555b20
1427005aa6c
15168dccae6
hexdbec4408

3689694216 has 96 divisors (see below), whose sum is σ = 10964804760. Its totient is φ = 1113854976.

The previous prime is 3689694191. The next prime is 3689694233. The reversal of 3689694216 is 6124969863.

3689694216 is a `hidden beast` number, since 368 + 9 + 69 + 4 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1766520900 + 1923173316 = 42030^2 + 43854^2 .

It is a super-2 number, since 2×36896942162 = 27227686815167709312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 12420 + ... + 86796.

Almost surely, 23689694216 is an apocalyptic number.

3689694216 is a gapful number since it is divisible by the number (36) 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 3689694216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482402380).

3689694216 is an abundant number, since it is smaller than the sum of its proper divisors (7275110544).

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

3689694216 is a wasteful number, since it uses less digits than its factorization.

3689694216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74455 (or 74448 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3689694216 is about 60742.8532092459. The cubic root of 3689694216 is about 1545.2430245792.

The spelling of 3689694216 in words is "three billion, six hundred eighty-nine million, six hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 636 689 936 954 1272 1378 1908 2067 2756 3816 4134 5512 6201 8268 12402 16536 24804 49608 74377 148754 223131 297508 446262 595016 669393 892524 966901 1338786 1785048 1933802 2677572 2900703 3867604 3941981 5355144 5801406 7735208 7883962 8702109 11602812 11825943 15767924 17404218 23205624 23651886 31535848 34808436 35477829 47303772 51245753 69616872 70955658 94607544 102491506 141911316 153737259 204983012 283822632 307474518 409966024 461211777 614949036 922423554 1229898072 1844847108 3689694216