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540857722337 = 3973139343397
BaseRepresentation
bin1111101111011011010…
…00011110010111100001
31220201001022020001120222
413313231220132113201
532330134034103322
61052244442012425
754034646533352
oct7675550362741
91821038201528
10540857722337
111994160a1a79
12889a41a7115
133c005b1353a
141c26b6a3d29
15e107a94e42
hex7deda1e5e1

540857722337 has 8 divisors (see below), whose sum is σ = 542249851176. Its totient is φ = 539465743872.

The previous prime is 540857722319. The next prime is 540857722367. The reversal of 540857722337 is 733227758045.

It can be written as a sum of positive squares in 4 ways, for example, as 416355305536 + 124502416801 = 645256^2 + 352849^2 .

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 540857722337 - 214 = 540857705953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540857722367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12441323 + ... + 12484719.

It is an arithmetic number, because the mean of its divisors is an integer number (67781231397).

Almost surely, 2540857722337 is an apocalyptic number.

It is an amenable number.

540857722337 is a deficient number, since it is larger than the sum of its proper divisors (1392128839).

540857722337 is a wasteful number, since it uses less digits than its factorization.

540857722337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75187.

The product of its (nonzero) digits is 9878400, while the sum is 53.

The spelling of 540857722337 in words is "five hundred forty billion, eight hundred fifty-seven million, seven hundred twenty-two thousand, three hundred thirty-seven".

Divisors: 1 397 31393 43397 12463021 17228609 1362362021 540857722337