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2009980544 = 27111328447
BaseRepresentation
bin111011111001101…
…1101111010000000
312012002010120221212
41313303131322000
513104023334134
6531240505252
7100544360405
oct16763357200
95162116855
102009980544
11941644150
1248117b228
13260560100
14150d362ac
15bb6d4bce
hex77cdde80

2009980544 has 96 divisors (see below), whose sum is σ = 4730711040. Its totient is φ = 843248640.

The previous prime is 2009980537. The next prime is 2009980571. The reversal of 2009980544 is 4450899002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233729 + ... + 242175.

It is an arithmetic number, because the mean of its divisors is an integer number (49278240).

Almost surely, 22009980544 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 2009980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365355520).

2009980544 is an abundant number, since it is smaller than the sum of its proper divisors (2720730496).

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

2009980544 is a wasteful number, since it uses less digits than its factorization.

2009980544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 2009980544 is about 44832.8065594828. The cubic root of 2009980544 is about 1262.0133562647.

The spelling of 2009980544 in words is "two billion, nine million, nine hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 286 338 352 416 572 676 704 832 1144 1352 1408 1664 1859 2288 2704 3718 4576 5408 7436 8447 9152 10816 14872 16894 18304 21632 29744 33788 59488 67576 92917 109811 118976 135152 185834 219622 237952 270304 371668 439244 540608 743336 878488 1081216 1207921 1427543 1486672 1756976 2415842 2855086 2973344 3513952 4831684 5710172 5946688 7027904 9663368 11420344 11893376 14055808 15702973 19326736 22840688 31405946 38653472 45681376 62811892 77306944 91362752 125623784 154613888 182725504 251247568 502495136 1004990272 2009980544