Search a number
-
+
2009918316 = 2237791392179
BaseRepresentation
bin111011111001100…
…1110101101101100
312012002000102121010
41313303032231230
513104014341231
6531235305220
7100544011110
oct16763165554
95162012533
102009918316
1194160141a
1248114b210
1326053a9a3
14150d1b740
15bb6c1546
hex77cceb6c

2009918316 has 96 divisors (see below), whose sum is σ = 5469184000. Its totient is φ = 562655808.

The previous prime is 2009918297. The next prime is 2009918353. The reversal of 2009918316 is 6138199002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921315 + ... + 923493.

Almost surely, 22009918316 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 2009918316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734592000).

2009918316 is an abundant number, since it is smaller than the sum of its proper divisors (3459265684).

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

2009918316 is a wasteful number, since it uses less digits than its factorization.

2009918316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2009918316 is about 44832.1125533919. The cubic root of 2009918316 is about 1262.0003323613. Note that the first 3 decimals are identical.

The spelling of 2009918316 in words is "two billion, nine million, nine hundred eighteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 139 158 237 278 316 417 474 553 556 834 948 973 1106 1659 1668 1946 2179 2212 2919 3318 3892 4358 5838 6537 6636 8716 10981 11676 13074 15253 21962 26148 30506 32943 43924 45759 61012 65886 76867 91518 131772 153734 172141 183036 230601 302881 307468 344282 461202 516423 605762 688564 908643 922404 1032846 1204987 1211524 1817286 2065692 2120167 2409974 3614961 3634572 4240334 4819948 6360501 7229922 8480668 12721002 14459844 23927599 25442004 47855198 71782797 95710396 143565594 167493193 287131188 334986386 502479579 669972772 1004959158 2009918316