Search a number
-
+
53956511565935 = 51117136742214703
BaseRepresentation
bin11000100010010101110101…
…01101001000100001101111
321002001012012001200121122212
430101022322231020201233
524033010413430102220
6310431140151201035
714236141441014566
oct1421127255104157
9232035161617585
1053956511565935
1116212912154560
12607517267617b
13241510081c094
14d4771ad4cbdd
156387ecc5d0c5
hex3112bab4886f

53956511565935 has 32 divisors (see below), whose sum is σ = 74843630733312. Its totient is φ = 36905781076480.

The previous prime is 53956511565923. The next prime is 53956511565953.

It is a happy number.

53956511565935 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53956511565935 - 24 = 53956511565919 is a prime.

It is a super-2 number, since 2×539565115659352 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19829207 + ... + 22385496.

It is an arithmetic number, because the mean of its divisors is an integer number (2338863460416).

Almost surely, 253956511565935 is an apocalyptic number.

53956511565935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53956511565935 is a deficient number, since it is larger than the sum of its proper divisors (20887119167377).

53956511565935 is a wasteful number, since it uses less digits than its factorization.

53956511565935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42216103.

The product of its digits is 410062500, while the sum is 68.

The spelling of 53956511565935 in words is "fifty-three trillion, nine hundred fifty-six billion, five hundred eleven million, five hundred sixty-five thousand, nine hundred thirty-five".

Divisors: 1 5 11 17 55 85 187 935 1367 6835 15037 23239 75185 116195 255629 1278145 42214703 211073515 464361733 717649951 2321808665 3588249755 7894149461 39470747305 57707499001 288537495005 634782489011 981027483017 3173912445055 4905137415085 10791302313187 53956511565935