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2438169006 = 2371314892999
BaseRepresentation
bin1001000101010011…
…1000000110101110
320021220211211002210
42101110320012232
514443132402011
61041534231250
7114264044310
oct22124700656
96256754083
102438169006
111041312509
12580655526
132cb190c70
14191b577b0
15e40b56a6
hex915381ae

2438169006 has 64 divisors (see below), whose sum is σ = 6007680000. Its totient is φ = 642387456.

The previous prime is 2438168989. The next prime is 2438169029. The reversal of 2438169006 is 6009618342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

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, 811495 + ... + 814493.

It is an arithmetic number, because the mean of its divisors is an integer number (93870000).

Almost surely, 22438169006 is an apocalyptic number.

2438169006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2438169006 is an abundant number, since it is smaller than the sum of its proper divisors (3569510994).

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

2438169006 is a wasteful number, since it uses less digits than its factorization.

2438169006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2438169006 is about 49377.8189676296. The cubic root of 2438169006 is about 1345.9262665980.

The spelling of 2438169006 in words is "two billion, four hundred thirty-eight million, one hundred sixty-nine thousand, six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1489 2978 2999 4467 5998 8934 8997 10423 17994 19357 20846 20993 31269 38714 38987 41986 58071 62538 62979 77974 116142 116961 125958 135499 233922 270998 272909 406497 545818 812994 818727 1637454 4465511 8931022 13396533 26793066 31258577 58051643 62517154 93775731 116103286 174154929 187551462 348309858 406361501 812723002 1219084503 2438169006