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540821984836 = 2272525292
BaseRepresentation
bin1111101111010111000…
…00001001011001000100
31220200221210222101221211
413313223200021121010
532330100412003321
61052241124021204
754034034010400
oct7675340113104
91820853871854
10540821984836
111993a7a02951
1288994231804
133bccb5acba3
141c266a40100
15e1048860e1
hex7deb809644

540821984836 has 27 divisors (see below), whose sum is σ = 1100980000029. Its totient is φ = 231776438208.

The previous prime is 540821984831. The next prime is 540821984839. The reversal of 540821984836 is 638489128045.

The square root of 540821984836 is 735406.

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., 14906944836 + 525915040000 = 122094^2 + 725200^2 .

It is a super-2 number, since 2×5408219848362 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540821984831) 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 8 ways as a sum of consecutive naturals, for example, 10269420 + ... + 10321948.

Almost surely, 2540821984836 is an apocalyptic number.

540821984836 is the 735406-th square number.

It is an amenable number.

540821984836 is an abundant number, since it is smaller than the sum of its proper divisors (560158015193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540821984836 is an frugal number, since it uses more digits than its factorization.

540821984836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105076 (or 52538 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 540821984836 in words is "five hundred forty billion, eight hundred twenty-one million, nine hundred eighty-four thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 52529 105058 210116 367703 735406 1470812 2573921 5147842 10295684 2759295841 5518591682 11037183364 19315070887 38630141774 77260283548 135205496209 270410992418 540821984836