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20719682361 = 3371091005761
BaseRepresentation
bin10011010010111111…
…010100001100111001
31222110222201220212000
4103102333110030321
5314413214313421
613303554411213
71332311252130
oct232277241471
958428656760
1020719682361
1188727a2034
124022b90b09
131c528189a1
141007b04917
1581402a226
hex4d2fd4339

20719682361 has 32 divisors (see below), whose sum is σ = 35402822400. Its totient is φ = 11731184640.

The previous prime is 20719682351. The next prime is 20719682383. The reversal of 20719682361 is 16328691702.

20719682361 is a `hidden beast` number, since 20 + 7 + 196 + 82 + 361 = 666.

It is not a de Polignac number, because 20719682361 - 211 = 20719680313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20719682351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482280 + ... + 523481.

It is an arithmetic number, because the mean of its divisors is an integer number (1106338200).

Almost surely, 220719682361 is an apocalyptic number.

20719682361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20719682361 is a deficient number, since it is larger than the sum of its proper divisors (14683140039).

20719682361 is a wasteful number, since it uses less digits than its factorization.

20719682361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005886 (or 1005880 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20719682361 in words is "twenty billion, seven hundred nineteen million, six hundred eighty-two thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 109 189 327 763 981 2289 2943 6867 20601 1005761 3017283 7040327 9051849 21120981 27155547 63362943 109627949 190088829 328883847 767395643 986651541 2302186929 2959954623 6906560787 20719682361