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20502205720736 = 253726964371941
BaseRepresentation
bin1001010100101100010101…
…01100000110100010100000
32200120222202222010102220212
410222112022230012202200
510141402004131030421
6111334325553353252
74214143525145045
oct452261254064240
980528688112825
1020502205720736
116594a33702133
12237156b268828
13b594713b6cbc
1450c4523ab1cc
15258499465e5b
hex12a58ab068a0

20502205720736 has 48 divisors (see below), whose sum is σ = 41608735869960. Its totient is φ = 9936967633920.

The previous prime is 20502205720627. The next prime is 20502205720781. The reversal of 20502205720736 is 63702750220502.

It can be written as a sum of positive squares in 4 ways, for example, as 15584651107600 + 4917554613136 = 3947740^2 + 2217556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20502205720693 and 20502205720702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31867475 + ... + 32504466.

Almost surely, 220502205720736 is an apocalyptic number.

It is an amenable number.

20502205720736 is an abundant number, since it is smaller than the sum of its proper divisors (21106530149224).

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

20502205720736 is a wasteful number, since it uses less digits than its factorization.

20502205720736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64372257 (or 64372249 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 41.

The spelling of 20502205720736 in words is "twenty trillion, five hundred two billion, two hundred five million, seven hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 74 148 269 296 538 592 1076 1184 2152 4304 8608 9953 19906 39812 79624 159248 318496 64371941 128743882 257487764 514975528 1029951056 2059902112 2381761817 4763523634 9527047268 17316052129 19054094536 34632104258 38108189072 69264208516 76216378144 138528417032 277056834064 554113668128 640693928773 1281387857546 2562775715092 5125551430184 10251102860368 20502205720736