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540983983293 = 321314741313669
BaseRepresentation
bin1111101111101010010…
…10000111110010111101
31220201101002210210001200
413313311022013302331
532330413344431133
61052305152130113
754041041662165
oct7676512076275
91821332723050
10540983983293
1119948039a776
1288a1a536939
133c026020170
141c28036d5a5
15e113bd5913
hex7df5287cbd

540983983293 has 24 divisors (see below), whose sum is σ = 841590411480. Its totient is φ = 332889575040.

The previous prime is 540983983213. The next prime is 540983983307. The reversal of 540983983293 is 392389389045.

540983983293 is a `hidden beast` number, since 5 + 40 + 98 + 398 + 32 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87357486969 + 453626496324 = 295563^2 + 673518^2 .

It is not a de Polignac number, because 540983983293 - 210 = 540983982269 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540983983293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540983983213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567863 + ... + 1881531.

It is an arithmetic number, because the mean of its divisors is an integer number (35066267145).

Almost surely, 2540983983293 is an apocalyptic number.

It is an amenable number.

540983983293 is a deficient number, since it is larger than the sum of its proper divisors (300606428187).

540983983293 is a wasteful number, since it uses less digits than its factorization.

540983983293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328429 (or 328426 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 540983983293 in words is "five hundred forty billion, nine hundred eighty-three million, nine hundred eighty-three thousand, two hundred ninety-three".

Divisors: 1 3 9 13 39 117 14741 44223 132669 191633 313669 574899 941007 1724697 2823021 4077697 12233091 36699273 4623794729 13871384187 41614152561 60109331477 180327994431 540983983293