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6688601984 = 271131632837
BaseRepresentation
bin1100011101010101…
…11111011110000000
3122021010210012000102
412032222333132000
5102144240230414
63023411541532
7324515115221
oct61652773600
918233705012
106688601984
1129225a5739
121367bba8a8
1382794716c
1447645b248
15292307ede
hex18eabf780

6688601984 has 64 divisors (see below), whose sum is σ = 13530108240. Its totient is φ = 3293208576.

The previous prime is 6688601981. The next prime is 6688601987. The reversal of 6688601984 is 4891068866.

It is an interprime number because it is at equal distance from previous prime (6688601981) and next prime (6688601987).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6688601981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2356214 + ... + 2359050.

Almost surely, 26688601984 is an apocalyptic number.

6688601984 is a gapful number since it is divisible by the number (64) 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 6688601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765054120).

6688601984 is an abundant number, since it is smaller than the sum of its proper divisors (6841506256).

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

6688601984 is a wasteful number, since it uses less digits than its factorization.

6688601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The square root of 6688601984 is about 81783.8736182140. The cubic root of 6688601984 is about 1884.1339903472.

The spelling of 6688601984 in words is "six billion, six hundred eighty-eight million, six hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 113 128 163 226 326 452 652 904 1304 1808 2608 2837 3616 5216 5674 7232 10432 11348 14464 18419 20864 22696 36838 45392 73676 90784 147352 181568 294704 320581 363136 462431 589408 641162 924862 1178816 1282324 1849724 2357632 2564648 3699448 5129296 7398896 10258592 14797792 20517184 29595584 41034368 52254703 59191168 104509406 209018812 418037624 836075248 1672150496 3344300992 6688601984