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2006713044 = 2232719715903
BaseRepresentation
bin111011110011100…
…0000001011010100
312011211222120210100
41313213000023110
513102204304134
6531042454100
7100504531230
oct16747001324
95154876710
102006713044
1193a812236
12480064330
1325c987a8b
141507255c0
15bb28b999
hex779c02d4

2006713044 has 144 divisors (see below), whose sum is σ = 6189281280. Its totient is φ = 535429440.

The previous prime is 2006713043. The next prime is 2006713057. The reversal of 2006713044 is 4403176002.

It is a junction number, because it is equal to n+sod(n) for n = 2006712999 and 2006713017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006713043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336997 + ... + 342899.

It is an arithmetic number, because the mean of its divisors is an integer number (42981120).

Almost surely, 22006713044 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 2006713044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094640640).

2006713044 is an abundant number, since it is smaller than the sum of its proper divisors (4182568236).

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

2006713044 is a wasteful number, since it uses less digits than its factorization.

2006713044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2006713044 is about 44796.3507888756. The cubic root of 2006713044 is about 1261.3291265620.

Adding to 2006713044 its reverse (4403176002), we get a palindrome (6409889046).

The spelling of 2006713044 in words is "two billion, six million, seven hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 71 76 84 114 126 133 142 171 213 228 252 266 284 342 399 426 497 532 639 684 798 852 994 1197 1278 1349 1491 1596 1988 2394 2556 2698 2982 4047 4473 4788 5396 5903 5964 8094 8946 9443 11806 12141 16188 17709 17892 18886 23612 24282 28329 35418 37772 41321 48564 53127 56658 70836 82642 84987 106254 112157 113316 123963 165284 169974 212508 224314 247926 336471 339948 371889 419113 448628 495852 672942 743778 785099 838226 1009413 1257339 1345884 1487556 1570198 1676452 2018826 2355297 2514678 2933791 3140396 3772017 4037652 4710594 5029356 5867582 7065891 7544034 7963147 8801373 9421188 11735164 14131782 15088068 15926294 17602746 23889441 26404119 28263564 31852588 35205492 47778882 52808238 55742029 71668323 95557764 105616476 111484058 143336646 167226087 222968116 286673292 334452174 501678261 668904348 1003356522 2006713044