Search a number
-
+
20730888240786 = 23219374993283141
BaseRepresentation
bin1001011011010110010010…
…01110101011111010010010
32201101212001020122010001200
410231223021032223322102
510204123324342201121
6112031345533412030
74236520510405353
oct455531116537222
981355036563050
1020730888240786
116672a13a60159
1223a995063a016
13b74bb6b52c19
14519547945d2a
1525e3d0a1ea26
hex12dac93abe92

20730888240786 has 96 divisors (see below), whose sum is σ = 48656164440000. Its totient is φ = 6356894463360.

The previous prime is 20730888240721. The next prime is 20730888240857. The reversal of 20730888240786 is 68704288803702.

20730888240786 is a `hidden beast` number, since 2 + 0 + 7 + 308 + 8 + 8 + 240 + 7 + 86 = 666.

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, 4672776 + ... + 7955916.

It is an arithmetic number, because the mean of its divisors is an integer number (506835046250).

Almost surely, 220730888240786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20730888240786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328082220000).

20730888240786 is an abundant number, since it is smaller than the sum of its proper divisors (27925276199214).

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

20730888240786 is a wasteful number, since it uses less digits than its factorization.

20730888240786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283704 (or 3283701 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 20730888240786 in words is "twenty trillion, seven hundred thirty billion, eight hundred eighty-eight million, two hundred forty thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 499 666 703 998 1406 1497 2109 2994 4218 4491 6327 8982 9481 12654 18463 18962 28443 36926 55389 56886 85329 110778 166167 170658 332334 350797 701594 1052391 2104782 3157173 3283141 6314346 6566282 9849423 19698846 29548269 59096538 62379679 121476217 124759358 187139037 242952434 364428651 374278074 561417111 728857302 1093285953 1122834222 1638287359 2186571906 2308048123 3276574718 4616096246 4914862077 6924144369 9829724154 13848288738 14744586231 20772433107 29489172462 31127459821 41544866214 60616632283 62254919642 93382379463 121233264566 181849896849 186764758926 280147138389 363699793698 545549690547 560294276778 1091099381094 1151716013377 2303432026754 3455148040131 6910296080262 10365444120393 20730888240786