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13578576680 = 2355314394451
BaseRepresentation
bin11001010010101100…
…01010001100101000
31022001022111011110102
430221112022030220
5210302103423210
610123220004532
7660326666054
oct145126121450
938038434412
1013578576680
1158388306a9
12276b530748
131385209376
1492b536c64
1554713bea5
hex32958a328

13578576680 has 64 divisors (see below), whose sum is σ = 31156876800. Its totient is φ = 5324051200.

The previous prime is 13578576673. The next prime is 13578576703. The reversal of 13578576680 is 8667587531.

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, 3048455 + ... + 3052905.

It is an arithmetic number, because the mean of its divisors is an integer number (486826200).

Almost surely, 213578576680 is an apocalyptic number.

13578576680 is a gapful number since it is divisible by the number (10) 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 13578576680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15578438400).

13578576680 is an abundant number, since it is smaller than the sum of its proper divisors (17578300120).

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

13578576680 is a wasteful number, since it uses less digits than its factorization.

13578576680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 13578576680 in words is "thirteen billion, five hundred seventy-eight million, five hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1439 2120 2878 4451 5756 7195 8902 11512 14390 17804 22255 28780 35608 44510 57560 76267 89020 152534 178040 235903 305068 381335 471806 610136 762670 943612 1179515 1525340 1887224 2359030 3050680 4718060 6404989 9436120 12809978 25619956 32024945 51239912 64049890 128099780 256199560 339464417 678928834 1357857668 1697322085 2715715336 3394644170 6789288340 13578576680