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534935720449 = 13212724432
BaseRepresentation
bin1111100100011001010…
…01110101001000000001
31220010202120221012012201
413302030221311020001
532231022021023244
61045425052553201
753435130412624
oct7621451651001
91803676835181
10534935720449
111969572a5339
1287810a82801
133b5a0c56900
141bc68d99dbb
15ddacc17ad4
hex7c8ca75201

534935720449 has 27 divisors (see below), whose sum is σ = 585167772483. Its totient is φ = 488792867472.

The previous prime is 534935720441. The next prime is 534935720467. The reversal of 534935720449 is 944027539435.

It is a happy number.

The square root of 534935720449 is 731393.

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., 79132503025 + 455803217424 = 281305^2 + 675132^2 .

It is not a de Polignac number, because 534935720449 - 23 = 534935720441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 534935720449.

It is not an unprimeable number, because it can be changed into a prime (534935720441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1207529622 + ... + 1207530064.

Almost surely, 2534935720449 is an apocalyptic number.

534935720449 is the 731393-rd square number.

534935720449 is the 365697-th centered octagonal number.

It is an amenable number.

534935720449 is a deficient number, since it is larger than the sum of its proper divisors (50232052034).

534935720449 is an frugal number, since it uses more digits than its factorization.

534935720449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 55.

The spelling of 534935720449 in words is "five hundred thirty-four billion, nine hundred thirty-five million, seven hundred twenty thousand, four hundred forty-nine".

Divisors: 1 13 127 169 443 1651 5759 16129 21463 56261 74867 196249 209677 731393 2551237 2725801 7145147 9508109 24923623 33166081 92886911 324007099 1207529843 3165300121 4212092287 41148901573 534935720449