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540201480256 = 26918732
BaseRepresentation
bin1111101110001101000…
…01000111000001000000
31220122100120101111200201
413313012201013001000
532322313034332011
61052055400254544
754012460551214
oct7670641070100
91818316344621
10540201480256
1119910971a649
1288840471454
133bc2cb85309
141c20847a944
15e0ba167cc1
hex7dc6847040

540201480256 has 21 divisors (see below), whose sum is σ = 1071973980381. Its totient is φ = 270097800192.

The previous prime is 540201480253. The next prime is 540201480319. The reversal of 540201480256 is 652084102045.

The square root of 540201480256 is 734984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 538697281600 + 1504198656 = 733960^2 + 38784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540201480253) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5833936 + ... + 5925808.

Almost surely, 2540201480256 is an apocalyptic number.

540201480256 is the 734984-th square number.

It is an amenable number.

540201480256 is a deficient number, since it is larger than the sum of its proper divisors (531772500125).

540201480256 is an frugal number, since it uses more digits than its factorization.

540201480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183758 (or 91875 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 540201480256 in words is "five hundred forty billion, two hundred one million, four hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 91873 183746 367492 734984 1469968 2939936 5879872 8440648129 16881296258 33762592516 67525185032 135050370064 270100740128 540201480256