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540105660040 = 23536319371779
BaseRepresentation
bin1111101110000001100…
…11100101011010001000
31220122002220002100001211
413313000303211122020
532322114022110130
61052042054422504
754010215235042
oct7670063453210
91818086070054
10540105660040
1119906a623491
1288814361a34
133bc1607616b
141c1d9856a92
15e0b1a3ba2a
hex7dc0ce5688

540105660040 has 32 divisors (see below), whose sum is σ = 1215274464000. Its totient is φ = 216035734464.

The previous prime is 540105660011. The next prime is 540105660131. The reversal of 540105660040 is 40066501045.

It is a junction number, because it is equal to n+sod(n) for n = 540105659984 and 540105660011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1266871 + ... + 1638649.

It is an arithmetic number, because the mean of its divisors is an integer number (37977327000).

Almost surely, 2540105660040 is an apocalyptic number.

It is an amenable number.

540105660040 is an abundant number, since it is smaller than the sum of its proper divisors (675168803960).

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

540105660040 is a wasteful number, since it uses less digits than its factorization.

540105660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408109 (or 408105 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 540105660040 in words is "five hundred forty billion, one hundred five million, six hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 36319 72638 145276 181595 290552 363190 371779 726380 743558 1452760 1487116 1858895 2974232 3717790 7435580 14871160 13502641501 27005283002 54010566004 67513207505 108021132008 135026415010 270052830020 540105660040