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20406149784 = 23321717899319
BaseRepresentation
bin10011000000010011…
…010010001010011000
31221200010202211000100
4103000103102022120
5313242433243114
613212514335400
71321453261026
oct230023221230
957603684010
1020406149784
1187218153a9
123b55b8a560
131c02890457
14db820b716
157e6746909
hex4c04d2298

20406149784 has 96 divisors (see below), whose sum is σ = 58556628000. Its totient is φ = 6397664256.

The previous prime is 20406149741. The next prime is 20406149809. The reversal of 20406149784 is 48794160402.

20406149784 is a `hidden beast` number, since 20 + 4 + 0 + 61 + 497 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2185077 + ... + 2194395.

It is an arithmetic number, because the mean of its divisors is an integer number (609964875).

Almost surely, 220406149784 is an apocalyptic number.

20406149784 is a gapful number since it is divisible by the number (24) 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 20406149784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278314000).

20406149784 is an abundant number, since it is smaller than the sum of its proper divisors (38150478216).

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

20406149784 is a wasteful number, since it uses less digits than its factorization.

20406149784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11137 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20406149784 in words is "twenty billion, four hundred six million, one hundred forty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1789 3578 5367 7156 9319 10734 14312 16101 18638 21468 27957 30413 32202 37276 42936 55914 60826 64404 74552 83871 91239 111828 121652 128808 158423 167742 182478 223656 243304 273717 316846 335484 364956 475269 547434 633692 670968 729912 950538 1094868 1267384 1425807 1901076 2189736 2851614 3802152 5703228 11406456 16671691 33343382 50015073 66686764 100030146 133373528 150045219 200060292 283418747 300090438 400120584 566837494 600180876 850256241 1133674988 1200361752 1700512482 2267349976 2550768723 3401024964 5101537446 6802049928 10203074892 20406149784