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20300640066 = 2347171139319
BaseRepresentation
bin10010111010000000…
…110010111101000010
31221101210020100220000
4102322000302331002
5313033430440231
613154225100430
71316032410360
oct227200627502
957353210800
1020300640066
118678200393
123b26787716
131bb6a6ab75
14da81c4630
157dc3546e6
hex4ba032f42

20300640066 has 160 divisors (see below), whose sum is σ = 55537954560. Its totient is φ = 5410105344.

The previous prime is 20300640047. The next prime is 20300640071. The reversal of 20300640066 is 66004600302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2173755 + ... + 2183073.

It is an arithmetic number, because the mean of its divisors is an integer number (347112216).

Almost surely, 220300640066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300640066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27768977280).

20300640066 is an abundant number, since it is smaller than the sum of its proper divisors (35237314494).

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

20300640066 is a wasteful number, since it uses less digits than its factorization.

20300640066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9461 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 20300640066 in words is "twenty billion, three hundred million, six hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 113 119 126 153 162 189 226 238 306 339 357 378 459 567 678 714 791 918 1017 1071 1134 1377 1582 1921 2034 2142 2373 2754 3051 3213 3842 4746 5763 6102 6426 7119 9153 9319 9639 11526 13447 14238 17289 18306 18638 19278 21357 26894 27957 34578 40341 42714 51867 55914 64071 65233 80682 83871 103734 121023 128142 130466 155601 158423 167742 195699 242046 251613 311202 316846 363069 391398 475269 503226 587097 726138 754839 950538 1053047 1089207 1108961 1174194 1425807 1509678 1761291 2106094 2178414 2217922 2851614 3159141 3326883 3522582 4277421 5283873 6318282 6653766 7371329 8554842 9477423 9980649 10567746 12832263 14742658 17901799 18954846 19961298 22113987 25664526 28432269 29941947 35803598 44227974 53705397 56864538 59883894 66341961 85296807 89825841 107410794 125312593 132683922 161116191 170593614 179651682 199025883 250625186 322232382 375937779 398051766 483348573 597077649 751875558 966697146 1127813337 1194155298 1450045719 2255626674 2900091438 3383440011 6766880022 10150320033 20300640066