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20069744220 = 2235535911503
BaseRepresentation
bin10010101100001111…
…111111111001011100
31220210200202122100000
4102230033333321130
5312100323303340
613115300134300
71310230003551
oct225417777134
956720678300
1020069744220
118569935979
123a81397390
131b7ac86bc6
14d8567ca28
157c6e45d30
hex4ac3ffe5c

20069744220 has 144 divisors (see below), whose sum is σ = 63314334720. Its totient is φ = 5336559936.

The previous prime is 20069744183. The next prime is 20069744231. The reversal of 20069744220 is 2244796002.

20069744220 is a `hidden beast` number, since 200 + 6 + 9 + 7 + 442 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738989 + ... + 1750491.

It is an arithmetic number, because the mean of its divisors is an integer number (439682880).

Almost surely, 220069744220 is an apocalyptic number.

20069744220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20069744220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657167360).

20069744220 is an abundant number, since it is smaller than the sum of its proper divisors (43244590500).

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

20069744220 is a wasteful number, since it uses less digits than its factorization.

20069744220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11886 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20069744220 in words is "twenty billion, sixty-nine million, seven hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 359 405 486 540 718 810 972 1077 1215 1436 1620 1795 2154 2430 3231 3590 4308 4860 5385 6462 7180 9693 10770 11503 12924 16155 19386 21540 23006 29079 32310 34509 38772 46012 48465 57515 58158 64620 69018 87237 96930 103527 115030 116316 138036 145395 172545 174474 193860 207054 230060 290790 310581 345090 348948 414108 436185 517635 581580 621162 690180 872370 931743 1035270 1242324 1552905 1744740 1863486 2070540 2795229 3105810 3726972 4129577 4658715 5590458 6211620 8259154 9317430 11180916 12388731 13976145 16518308 18634860 20647885 24777462 27952290 37166193 41295770 49554924 55904580 61943655 74332386 82591540 111498579 123887310 148664772 185830965 222997158 247774620 334495737 371661930 445994316 557492895 668991474 743323860 1003487211 1114985790 1337982948 1672478685 2006974422 2229971580 3344957370 4013948844 5017436055 6689914740 10034872110 20069744220