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2046000006 = 233232835821
BaseRepresentation
bin111100111110011…
…0111101110000110
312021120220120101000
41321330313232012
513142234000011
6535004514130
7101462466411
oct17174675606
95246816330
102046000006
1195aa060a6
1249124b946
13267b61bbb
14155a30b78
15be94c356
hex79f37b86

2046000006 has 64 divisors (see below), whose sum is σ = 4761930240. Its totient is φ = 649931040.

The previous prime is 2045999987. The next prime is 2046000007. The reversal of 2046000006 is 6000006402.

It is a super-2 number, since 2×20460000062 = 8372232049104000072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348576 + ... + 354396.

It is an arithmetic number, because the mean of its divisors is an integer number (74405160).

Almost surely, 22046000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2046000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380965120).

2046000006 is an abundant number, since it is smaller than the sum of its proper divisors (2715930234).

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

2046000006 is a wasteful number, since it uses less digits than its factorization.

2046000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2046000006 is about 45232.7315779182. The cubic root of 2046000006 is about 1269.5073224862.

Adding to 2046000006 its reverse (6000006402), we get a palindrome (8046006408).

The spelling of 2046000006 in words is "two billion, forty-six million, six", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 283 414 566 621 849 1242 1698 2547 5094 5821 6509 7641 11642 13018 15282 17463 19527 34926 39054 52389 58581 104778 117162 133883 157167 175743 267766 314334 351486 401649 803298 1204947 1647343 2409894 3294686 3614841 4942029 7229682 9884058 14826087 29652174 37888889 44478261 75777778 88956522 113666667 227333334 341000001 682000002 1023000003 2046000006