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540930700269 = 321725713756789
BaseRepresentation
bin1111101111100011111…
…10110111001111101101
31220201020101112201111100
413313301332313033231
532330311224402034
61052300010113313
754036524042121
oct7676176671755
91821211481440
10540930700269
11199453307413
1288a0471b839
133c017c8564b
141c27725d581
15e10e1ad099
hex7df1fb73ed

540930700269 has 24 divisors (see below), whose sum is σ = 830524925880. Its totient is φ = 338086821888.

The previous prime is 540930700259. The next prime is 540930700351. The reversal of 540930700269 is 962007039045.

It is a happy number.

540930700269 is a `hidden beast` number, since 540 + 9 + 30 + 70 + 0 + 2 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 291774986244 + 249155714025 = 540162^2 + 499155^2 .

It is not a de Polignac number, because 540930700269 - 213 = 540930692077 is a prime.

It is a super-2 number, since 2×5409307002692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540930700259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6839074 + ... + 6917715.

It is an arithmetic number, because the mean of its divisors is an integer number (34605205245).

Almost surely, 2540930700269 is an apocalyptic number.

It is an amenable number.

540930700269 is a deficient number, since it is larger than the sum of its proper divisors (289594225611).

540930700269 is a wasteful number, since it uses less digits than its factorization.

540930700269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757069 (or 13757066 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 540930700269 in words is "five hundred forty billion, nine hundred thirty million, seven hundred thousand, two hundred sixty-nine".

Divisors: 1 3 9 17 51 153 257 771 2313 4369 13107 39321 13756789 41270367 123811101 233865413 701596239 2104788717 3535494773 10606484319 31819452957 60103411141 180310233423 540930700269