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540106032053 = 7837191292927
BaseRepresentation
bin1111101110000001101…
…01000000001110110101
31220122002220210020101002
413313000311000032311
532322114121011203
61052042110413045
754010221344450
oct7670065001665
91818086706332
10540106032053
1119906a857a35
1288814501185
133bc161765a3
141c1d9912497
15e0b1ab1d88
hex7dc0d403b5

540106032053 has 16 divisors (see below), whose sum is σ = 625570283520. Its totient is φ = 456733867056.

The previous prime is 540106032007. The next prime is 540106032077. The reversal of 540106032053 is 350230601045.

It is a cyclic number.

It is not a de Polignac number, because 540106032053 - 230 = 539032290229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540106032553) 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 15 ways as a sum of consecutive naturals, for example, 228725 + ... + 1064202.

It is an arithmetic number, because the mean of its divisors is an integer number (39098142720).

Almost surely, 2540106032053 is an apocalyptic number.

It is an amenable number.

540106032053 is a deficient number, since it is larger than the sum of its proper divisors (85464251467).

540106032053 is a wasteful number, since it uses less digits than its factorization.

540106032053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293736.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 540106032053 its reverse (350230601045), we get a palindrome (890336633098).

The spelling of 540106032053 in words is "five hundred forty billion, one hundred six million, thirty-two thousand, fifty-three".

Divisors: 1 7 83 581 719 5033 59677 417739 1292927 9050489 107312941 751190587 929614513 6507301591 77158004579 540106032053