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11071219608 = 2332475361729
BaseRepresentation
bin10100100111110010…
…10110011110011000
31001120120110020011200
422103321112132120
5140133213011413
65030330354200
7541232546121
oct122371263630
931516406150
1011071219608
114771462179
12218b88b960
131075902327
1477052d048
1544be5b573
hex293e56798

11071219608 has 96 divisors (see below), whose sum is σ = 31200811200. Its totient is φ = 3543681024.

The previous prime is 11071219603. The next prime is 11071219609. The reversal of 11071219608 is 80691217011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071219603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148488 + ... + 210216.

It is an arithmetic number, because the mean of its divisors is an integer number (325008450).

Almost surely, 211071219608 is an apocalyptic number.

11071219608 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 11071219608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600405600).

11071219608 is an abundant number, since it is smaller than the sum of its proper divisors (20129591592).

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

11071219608 is a wasteful number, since it uses less digits than its factorization.

11071219608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61841 (or 61834 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11071219608 in words is "eleven billion, seventy-one million, two hundred nineteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 53 72 94 106 141 159 188 212 282 318 376 423 424 477 564 636 846 954 1128 1272 1692 1908 2491 3384 3816 4982 7473 9964 14946 19928 22419 29892 44838 59784 61729 89676 123458 179352 185187 246916 370374 493832 555561 740748 1111122 1481496 2222244 2901263 3271637 4444488 5802526 6543274 8703789 9814911 11605052 13086548 17407578 19629822 23210104 26111367 26173096 29444733 34815156 39259644 52222734 58889466 69630312 78519288 104445468 117778932 153766939 208890936 235557864 307533878 461300817 615067756 922601634 1230135512 1383902451 1845203268 2767804902 3690406536 5535609804 11071219608