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55783355338755 = 32511431261470179
BaseRepresentation
bin11001010111100000100110…
…00101000101000000000011
321022111211120221112201202200
430223300103011011000003
524302423302431320010
6314350304125244243
714515133355615162
oct1453602305050003
9238454527481680
1055783355338755
1116857651901a60
12630b230a03683
13251846a275715
14dabd008d33d9
1566b0be28bcc0
hex32bc13145003

55783355338755 has 48 divisors (see below), whose sum is σ = 105725990223360. Its totient is φ = 26983722369600.

The previous prime is 55783355338727. The next prime is 55783355338793.

55783355338755 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 3 + 3 + 5 + 533 + 87 + 5 + 5 = 666.

55783355338755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55783355338755 - 214 = 55783355322371 is a prime.

It is a super-2 number, since 2×557833553387552 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 130521745 + ... + 130948434.

It is an arithmetic number, because the mean of its divisors is an integer number (2202624796320).

Almost surely, 255783355338755 is an apocalyptic number.

55783355338755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55783355338755 is a deficient number, since it is larger than the sum of its proper divisors (49942634884605).

55783355338755 is a wasteful number, since it uses less digits than its factorization.

55783355338755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261470632 (or 261470629 counting only the distinct ones).

The product of its digits is 3969000000, while the sum is 72.

The spelling of 55783355338755 in words is "fifty-five trillion, seven hundred eighty-three billion, three hundred fifty-five million, three hundred thirty-eight thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 431 495 1293 2155 3879 4741 6465 14223 19395 23705 42669 71115 213345 261470179 784410537 1307350895 2353231611 2876171969 3922052685 8628515907 11766158055 14380859845 25885547721 43142579535 112693647149 129427738605 338080941447 563468235745 1014242824341 1239630118639 1690404707235 3718890355917 5071214121705 6198150593195 11156671067751 18594451779585 55783355338755