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540561787956 = 2232121712338213
BaseRepresentation
bin1111101110110111111…
…11100100110000110100
31220200021200101000221100
413313123333210300310
532324032304203311
61052155231050100
754024424246041
oct7673377446064
91820250330840
10540561787956
11199284045103
1288921070930
133bc8970a138
141c24026c1c8
15e0dbadaa56
hex7ddbfe4c34

540561787956 has 36 divisors (see below), whose sum is σ = 1367542963332. Its totient is φ = 180039189504.

The previous prime is 540561787951. The next prime is 540561787963. The reversal of 540561787956 is 659787165045.

540561787956 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 617 + 8 + 7 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78344010000 + 462217777956 = 279900^2 + 679866^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 540561787893 and 540561787902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540561787951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6125295 + ... + 6212918.

It is an arithmetic number, because the mean of its divisors is an integer number (37987304537).

Almost surely, 2540561787956 is an apocalyptic number.

It is an amenable number.

540561787956 is an abundant number, since it is smaller than the sum of its proper divisors (826981175376).

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

540561787956 is a wasteful number, since it uses less digits than its factorization.

540561787956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339440 (or 12339435 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 540561787956 in words is "five hundred forty billion, five hundred sixty-one million, seven hundred eighty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1217 2434 3651 4868 7302 10953 14604 21906 43812 12338213 24676426 37014639 49352852 74029278 111043917 148058556 222087834 444175668 15015605221 30031210442 45046815663 60062420884 90093631326 135140446989 180187262652 270280893978 540561787956