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20318097935781 = 329737117627041
BaseRepresentation
bin1001001111010101011010…
…00000101000110110100101
32122221101120011211221001200
410213222231000220312211
510130342431032421111
6111114001052513113
74164635256613362
oct447525500506645
978841504757050
1020318097935781
116523947658358
122341949a7b799
13b44cb0712c89
14503588c01469
152537c12e6256
hex127aad028da5

20318097935781 has 24 divisors (see below), whose sum is σ = 29651770273944. Its totient is φ = 13405372784640.

The previous prime is 20318097935771. The next prime is 20318097935801. The reversal of 20318097935781 is 18753979081302.

20318097935781 is a `hidden beast` number, since 20 + 3 + 180 + 9 + 7 + 9 + 357 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7858821682881 + 12459276252900 = 2803359^2 + 3529770^2 .

It is not a de Polignac number, because 20318097935781 - 211 = 20318097933733 is a prime.

It is a super-2 number, since 2×203180979357812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20318097935701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32089621 + ... + 32716661.

It is an arithmetic number, because the mean of its divisors is an integer number (1235490428081).

Almost surely, 220318097935781 is an apocalyptic number.

It is an amenable number.

20318097935781 is a deficient number, since it is larger than the sum of its proper divisors (9333672338163).

20318097935781 is a wasteful number, since it uses less digits than its factorization.

20318097935781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664261 (or 664258 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 20318097935781 in words is "twenty trillion, three hundred eighteen billion, ninety-seven million, nine hundred thirty-five thousand, seven hundred eighty-one".

Divisors: 1 3 9 97 291 873 37117 111351 334053 627041 1881123 3600349 5643369 10801047 32403141 60822977 182468931 547406793 23273880797 69821642391 209464927173 2257566437309 6772699311927 20318097935781