Search a number
-
+
53426344362435 = 3351164755606393
BaseRepresentation
bin11000010010111010010100…
…10001110000000111000011
321000011111201210120011222000
430021131022101300013003
524000314123124044220
6305343420200115043
714152632422105502
oct1411351221600703
9230144653504860
1053426344362435
1116028a92630620
125baa472765a83
1323a710c795a45
14d29bc53d8839
15629b1d9c4390
hex30974a4701c3

53426344362435 has 64 divisors (see below), whose sum is σ = 103774876738560. Its totient is φ = 25863645047040.

The previous prime is 53426344362421. The next prime is 53426344362467.

It is a happy number.

53426344362435 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 6 + 3 + 4 + 4 + 3 + 624 + 3 + 5 = 666.

53426344362435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53426344362435 - 25 = 53426344362403 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26842402 + ... + 28763991.

It is an arithmetic number, because the mean of its divisors is an integer number (1621482449040).

Almost surely, 253426344362435 is an apocalyptic number.

53426344362435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53426344362435 is a deficient number, since it is larger than the sum of its proper divisors (50348532376125).

53426344362435 is a wasteful number, since it uses less digits than its factorization.

53426344362435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55607065 (or 55607059 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 53426344362435 in words is "fifty-three trillion, four hundred twenty-six billion, three hundred forty-four million, three hundred sixty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 647 1485 1941 3235 5823 7117 9705 17469 21351 29115 35585 64053 87345 106755 192159 320265 960795 55606393 166819179 278031965 500457537 611670323 834095895 1501372611 1835010969 2502287685 3058351615 5505032907 7506863055 9175054845 16515098721 27525164535 35977336271 82575493605 107932008813 179886681355 323796026439 395750698981 539660044065 971388079317 1187252096943 1618980132195 1978753494905 3561756290829 4856940396585 5936260484715 10685268872487 17808781454145 53426344362435