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5868144468 = 2234234318313
BaseRepresentation
bin1010111011100010…
…01100011101010100
3120010221221121220000
411131301030131110
544004221110333
62410142411300
7265263255624
oct53561143524
916127847800
105868144468
11254146187a
121179290b30
13726980844
143d94c8884
1524528e713
hex15dc4c754

5868144468 has 120 divisors (see below), whose sum is σ = 16380627648. Its totient is φ = 1827391104.

The previous prime is 5868144431. The next prime is 5868144523. The reversal of 5868144468 is 8644418685.

It is a happy number.

5868144468 is a `hidden beast` number, since 586 + 8 + 14 + 4 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311280 + ... + 329592.

Almost surely, 25868144468 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 5868144468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190313824).

5868144468 is an abundant number, since it is smaller than the sum of its proper divisors (10512483180).

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

5868144468 is a wasteful number, since it uses less digits than its factorization.

5868144468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395 (or 18384 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The square root of 5868144468 is about 76603.8149702742. The cubic root of 5868144468 is about 1803.7109109315.

The spelling of 5868144468 in words is "five billion, eight hundred sixty-eight million, one hundred forty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 43 46 54 69 81 86 92 108 129 138 162 172 207 258 276 324 387 414 516 621 774 828 989 1161 1242 1548 1863 1978 2322 2484 2967 3483 3726 3956 4644 5934 6966 7452 8901 11868 13932 17802 18313 26703 35604 36626 53406 54939 73252 80109 106812 109878 160218 164817 219756 320436 329634 421199 494451 659268 787459 842398 988902 1263597 1483353 1574918 1684796 1977804 2362377 2527194 2966706 3149836 3790791 4724754 5054388 5933412 7087131 7581582 9449508 11372373 14174262 15163164 18111557 21261393 22744746 28348524 34117119 36223114 42522786 45489492 54334671 63784179 68234238 72446228 85045572 108669342 127568358 136468476 163004013 217338684 255136716 326008026 489012039 652016052 978024078 1467036117 1956048156 2934072234 5868144468