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2004927918 = 2371973127271
BaseRepresentation
bin111011110000000…
…1100010110101110
312011201121220001120
41313200030112232
513101230143133
6530540321410
7100453414620
oct16740142656
95151556046
102004927918
11939803024
1247b543266
1325c4b13a6
141503bcc10
15bb037ab3
hex7780c5ae

2004927918 has 128 divisors (see below), whose sum is σ = 4946657280. Its totient is φ = 529079040.

The previous prime is 2004927901. The next prime is 2004927919. The reversal of 2004927918 is 8197294002.

2004927918 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2004927918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004927919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7398123 + ... + 7398393.

It is an arithmetic number, because the mean of its divisors is an integer number (38645760).

Almost surely, 22004927918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004927918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473328640).

2004927918 is an abundant number, since it is smaller than the sum of its proper divisors (2941729362).

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

2004927918 is a wasteful number, since it uses less digits than its factorization.

2004927918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2004927918 is about 44776.4214514738. The cubic root of 2004927918 is about 1260.9549990932.

The spelling of 2004927918 in words is "two billion, four million, nine hundred twenty-seven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 127 133 146 219 254 266 271 381 399 438 511 542 762 798 813 889 1022 1387 1533 1626 1778 1897 2413 2667 2774 3066 3794 4161 4826 5149 5334 5691 7239 8322 9271 9709 10298 11382 14478 15447 16891 18542 19418 19783 27813 29127 30894 33782 34417 36043 39566 50673 55626 58254 59349 64897 68834 72086 101346 103251 108129 118698 129794 138481 176149 194691 206502 216258 240919 276962 352298 375877 389382 415443 481838 528447 653923 722757 751754 830886 1056894 1127631 1233043 1307846 1445514 1961769 2255262 2466086 2512441 2631139 3699129 3923538 4577461 5024882 5262278 7398258 7537323 7893417 9154922 13732383 15074646 15786834 17587087 27464766 35174174 47736379 52761261 95472758 105522522 143209137 286418274 334154653 668309306 1002463959 2004927918