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20044875006 = 23313237112043
BaseRepresentation
bin10010101010110001…
…001000010011111110
31220201221222011012000
4102222301020103332
5312022442000011
613113011123130
71306505424552
oct225261102376
956657864160
1020044875006
11855689a302
123a74ba34a6
131b75a8a3b0
14d82247862
157c4b82356
hex4aac484fe

20044875006 has 64 divisors (see below), whose sum is σ = 47994858240. Its totient is φ = 6164540640.

The previous prime is 20044874989. The next prime is 20044875007. The reversal of 20044875006 is 60057844002.

20044875006 is a `hidden beast` number, since 200 + 448 + 7 + 5 + 0 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20044875007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1658421 + ... + 1670463.

It is an arithmetic number, because the mean of its divisors is an integer number (749919660).

Almost surely, 220044875006 is an apocalyptic number.

20044875006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20044875006 is an abundant number, since it is smaller than the sum of its proper divisors (27949983234).

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

20044875006 is a wasteful number, since it uses less digits than its factorization.

20044875006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14438 (or 14432 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20044875006 in words is "twenty billion, forty-four million, eight hundred seventy-five thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 2371 4742 7113 12043 14226 21339 24086 30823 36129 42678 61646 64017 72258 92469 108387 128034 156559 184938 216774 277407 313118 325161 469677 554814 650322 832221 939354 1409031 1664442 2818062 4227093 8454186 28553953 57107906 85661859 171323718 256985577 371201389 513971154 742402778 770956731 1113604167 1541913462 2227208334 3340812501 6681625002 10022437503 20044875006