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20328282936 = 2334136736017
BaseRepresentation
bin10010111011101010…
…001111101100111000
31221110201020202210000
4102323222033230320
5313113020023221
613201053353000
71316516361003
oct227352175470
957421222700
1020328282936
118691870935
123b33a98760
131bbc6c8cb0
14dabb3c53a
157de9b4e26
hex4bba8fb38

20328282936 has 160 divisors (see below), whose sum is σ = 62234781840. Its totient is φ = 6161329152.

The previous prime is 20328282911. The next prime is 20328282943. The reversal of 20328282936 is 63928282302.

20328282936 is a `hidden beast` number, since 203 + 282 + 82 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20328282891 and 20328282900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 546400 + ... + 582416.

Almost surely, 220328282936 is an apocalyptic number.

20328282936 is a gapful number since it is divisible by the number (26) 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 20328282936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31117390920).

20328282936 is an abundant number, since it is smaller than the sum of its proper divisors (41906498904).

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

20328282936 is a wasteful number, since it uses less digits than its factorization.

20328282936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36115 (or 36102 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20328282936 in words is "twenty billion, three hundred twenty-eight million, two hundred eighty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 81 104 108 117 134 156 162 201 216 234 268 312 324 351 402 468 536 603 648 702 804 871 936 1053 1206 1404 1608 1742 1809 2106 2412 2613 2808 3484 3618 4212 4824 5226 5427 6968 7236 7839 8424 10452 10854 14472 15678 20904 21708 23517 31356 36017 43416 47034 62712 70551 72034 94068 108051 141102 144068 188136 216102 282204 288136 324153 432204 468221 564408 648306 864408 936442 972459 1296612 1404663 1872884 1944918 2413139 2593224 2809326 2917377 3745768 3889836 4213989 4826278 5618652 5834754 7239417 7779672 8427978 9652556 11237304 11669508 12641967 14478834 16855956 19305112 21718251 23339016 25283934 28957668 31370807 33711912 37925901 43436502 50567868 57915336 62741614 65154753 75851802 86873004 94112421 101135736 125483228 130309506 151703604 173746008 188224842 195464259 250966456 260619012 282337263 303407208 376449684 390928518 521238024 564674526 752899368 781857036 847011789 1129349052 1563714072 1694023578 2258698104 2541035367 3388047156 5082070734 6776094312 10164141468 20328282936