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5814013788 = 2234119371741
BaseRepresentation
bin1010110101000101…
…01100111101011100
3120000012002111120000
411122202230331130
543401341420123
62400530254300
7264035205342
oct53242547534
916005074500
105814013788
11251394a680
121163127390
137186aa25b
143d2237992
1524064ab43
hex15a8acf5c

5814013788 has 120 divisors (see below), whose sum is σ = 16607935344. Its totient is φ = 1758931200.

The previous prime is 5814013783. The next prime is 5814013811. The reversal of 5814013788 is 8873104185.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814013783) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3338598 + ... + 3340338.

Almost surely, 25814013788 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 5814013788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303967672).

5814013788 is an abundant number, since it is smaller than the sum of its proper divisors (10793921556).

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

5814013788 is a wasteful number, since it uses less digits than its factorization.

5814013788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5814013788 is about 76249.6805763801. The cubic root of 5814013788 is about 1798.1476611209.

The spelling of 5814013788 in words is "five billion, eight hundred fourteen million, thirteen thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 937 1188 1741 1782 1874 2811 3482 3564 3748 5223 5622 6964 8433 10307 10446 11244 15669 16866 19151 20614 20892 25299 30921 31338 33732 38302 41228 47007 50598 57453 61842 62676 75897 76604 92763 94014 101196 114906 123684 141021 151794 172359 185526 188028 229812 278289 282042 303588 344718 371052 517077 556578 564084 689436 834867 1034154 1113156 1551231 1631317 1669734 2068308 3102462 3262634 3339468 4893951 6204924 6525268 9787902 14681853 17944487 19575804 29363706 35888974 44045559 53833461 58727412 71777948 88091118 107666922 132136677 161500383 176182236 215333844 264273354 323000766 484501149 528546708 646001532 969002298 1453503447 1938004596 2907006894 5814013788