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5814012912 = 2431096831627
BaseRepresentation
bin1010110101000101…
…01100101111110000
3120000012002110100120
411122202230233300
543401341403122
62400530250240
7264035202651
oct53242545760
916005073316
105814012912
112513949a54
121163126980
137186a9a36
143d2237528
1524064a75c
hex15a8acbf0

5814012912 has 80 divisors (see below), whose sum is σ = 15188849280. Its totient is φ = 1916234496.

The previous prime is 5814012889. The next prime is 5814012917. The reversal of 5814012912 is 2192104185.

It is a super-2 number, since 2×58140129122 = 67605492281805439488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814012917) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3572643 + ... + 3574269.

It is an arithmetic number, because the mean of its divisors is an integer number (189860616).

Almost surely, 25814012912 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 5814012912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594424640).

5814012912 is an abundant number, since it is smaller than the sum of its proper divisors (9374836368).

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

5814012912 is a wasteful number, since it uses less digits than its factorization.

5814012912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 5814012912 is about 76249.6748320935. The cubic root of 5814012912 is about 1798.1475708117.

The spelling of 5814012912 in words is "five billion, eight hundred fourteen million, twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 683 872 1308 1366 1627 1744 2049 2616 2732 3254 4098 4881 5232 5464 6508 8196 9762 10928 13016 16392 19524 26032 32784 39048 74447 78096 148894 177343 223341 297788 354686 446682 532029 595576 709372 893364 1064058 1111241 1191152 1418744 1786728 2128116 2222482 2837488 3333723 3573456 4256232 4444964 6667446 8512464 8889928 13334892 17779856 26669784 53339568 121125269 242250538 363375807 484501076 726751614 969002152 1453503228 1938004304 2907006456 5814012912