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6689455760 = 2451312750647
BaseRepresentation
bin1100011101011100…
…01111111010010000
3122021012101120011202
412032232033322100
5102200000041020
63023442130332
7324525302321
oct61656177220
918235346152
106689455760
112923029139
1213683509a8
13827b85960
14476600448
15292425e75
hex18eb8fe90

6689455760 has 80 divisors (see below), whose sum is σ = 16881586176. Its totient is φ = 2450456064.

The previous prime is 6689455757. The next prime is 6689455793. The reversal of 6689455760 is 675549866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6689455696 and 6689455705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106757 + ... + 157403.

Almost surely, 26689455760 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 6689455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440793088).

6689455760 is an abundant number, since it is smaller than the sum of its proper divisors (10192130416).

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

6689455760 is a wasteful number, since it uses less digits than its factorization.

6689455760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50800 (or 50794 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 56.

The square root of 6689455760 is about 81789.0931603964. The cubic root of 6689455760 is about 1884.2141545800.

The spelling of 6689455760 in words is "six billion, six hundred eighty-nine million, four hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 508 520 635 1016 1040 1270 1651 2032 2540 3302 5080 6604 8255 10160 13208 16510 26416 33020 50647 66040 101294 132080 202588 253235 405176 506470 658411 810352 1012940 1316822 2025880 2633644 3292055 4051760 5267288 6432169 6584110 10534576 12864338 13168220 25728676 26336440 32160845 51457352 52672880 64321690 83618197 102914704 128643380 167236394 257286760 334472788 418090985 514573520 668945576 836181970 1337891152 1672363940 3344727880 6689455760