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540059064077 = 13371122783917
BaseRepresentation
bin1111101101111100000…
…01110101011100001101
31220121222122102000102102
413312332001311130031
532322020110022302
61052033312004445
754006111205541
oct7667601653415
91817878360372
10540059064077
11199046298225
1288800830725
133bc095102a0
141c1d35a7a21
15e0ac8d5702
hex7dbe07570d

540059064077 has 8 divisors (see below), whose sum is σ = 597321044376. Its totient is φ = 485042651712.

The previous prime is 540059064059. The next prime is 540059064091. The reversal of 540059064077 is 770460950045.

It can be written as a sum of positive squares in 4 ways, for example, as 256794549001 + 283264515076 = 506749^2 + 532226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540059064077 - 210 = 540059063053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540059064047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561391478 + ... + 561392439.

It is an arithmetic number, because the mean of its divisors is an integer number (74665130547).

Almost surely, 2540059064077 is an apocalyptic number.

It is an amenable number.

540059064077 is a deficient number, since it is larger than the sum of its proper divisors (57261980299).

540059064077 is a wasteful number, since it uses less digits than its factorization.

540059064077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122783967.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 540059064077 in words is "five hundred forty billion, fifty-nine million, sixty-four thousand, seventy-seven".

Divisors: 1 13 37 481 1122783917 14596190921 41543004929 540059064077