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1289842668 = 2232233121621
BaseRepresentation
bin100110011100001…
…0110111111101100
310022220001210111200
41030320112333230
510120144431133
6331553445500
743651324152
oct11470267754
93286053450
101289842668
1160209a984
122bbb70890
131772bc91a
14c34393d2
1578385913
hex4ce16fec

1289842668 has 108 divisors (see below), whose sum is σ = 3517650864. Its totient is φ = 397742400.

The previous prime is 1289842627. The next prime is 1289842669. The reversal of 1289842668 is 8662489821.

1289842668 is a `hidden beast` number, since 128 + 98 + 426 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1289842669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794898 + ... + 796518.

Almost surely, 21289842668 is an apocalyptic number.

1289842668 is a gapful number since it is divisible by the number (18) 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 1289842668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758825432).

1289842668 is an abundant number, since it is smaller than the sum of its proper divisors (2227808196).

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

1289842668 is a wasteful number, since it uses less digits than its factorization.

1289842668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1680 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 1289842668 is about 35914.3796827956. The cubic root of 1289842668 is about 1088.5429759413.

The spelling of 1289842668 in words is "one billion, two hundred eighty-nine million, eight hundred forty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 961 1116 1426 1621 1922 2139 2852 2883 3242 3844 4278 4863 5766 6417 6484 8556 8649 9726 11532 12834 14589 17298 19452 22103 25668 29178 34596 37283 44206 50251 58356 66309 74566 88412 100502 111849 132618 149132 150753 198927 201004 223698 265236 301506 335547 397854 447396 452259 603012 671094 795708 904518 1155773 1342188 1557781 1809036 2311546 3115562 3467319 4623092 4673343 6231124 6934638 9346686 10401957 13869276 14020029 18693372 20803914 28040058 35828963 41607828 56080116 71657926 107486889 143315852 214973778 322460667 429947556 644921334 1289842668