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540053616645 = 32529413834189
BaseRepresentation
bin1111101101111011011…
…01000011100000000101
31220121222021011020221200
413312331231003200011
532322012211213040
61052032555133113
754006014000034
oct7667555034005
91817867136850
10540053616645
11199043207514
12887baa44199
133bc0835395a
141c1d298a71b
15e0ac1ab630
hex7dbdb43805

540053616645 has 24 divisors (see below), whose sum is σ = 968372004600. Its totient is φ = 278096574336.

The previous prime is 540053616637. The next prime is 540053616653. The reversal of 540053616645 is 546616350045.

540053616645 is a `hidden beast` number, since 5 + 40 + 0 + 536 + 16 + 64 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (540053616637) and next prime (540053616653).

It can be written as a sum of positive squares in 4 ways, for example, as 4238400609 + 535815216036 = 65103^2 + 731994^2 .

It is not a de Polignac number, because 540053616645 - 23 = 540053616637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 540053616645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206915790 + ... + 206918399.

It is an arithmetic number, because the mean of its divisors is an integer number (40348833525).

Almost surely, 2540053616645 is an apocalyptic number.

It is an amenable number.

540053616645 is a deficient number, since it is larger than the sum of its proper divisors (428318387955).

540053616645 is a wasteful number, since it uses less digits than its factorization.

540053616645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413834229 (or 413834226 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 540053616645 in words is "five hundred forty billion, fifty-three million, six hundred sixteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 413834189 1241502567 2069170945 3724507701 6207512835 12001191481 18622538505 36003574443 60005957405 108010723329 180017872215 540053616645