Search a number
-
+
56768466486765 = 35111727673155153
BaseRepresentation
bin11001110100001011100000…
…10001111000010111101101
321110000000100000222002222010
430322011300101320113231
524420043304410034030
6320423023512111433
714646246343330365
oct1472056021702755
9243000300862863
1056768466486765
11170a740a420aa0
12644a138695579
13258a321a3cc67
1410038737a99a5
15686a288466b0
hex33a1704785ed

56768466486765 has 96 divisors (see below), whose sum is σ = 105272669195136. Its totient is φ = 25901496893440.

The previous prime is 56768466486691. The next prime is 56768466486769.

56768466486765 is nontrivially palindromic in base 10.

56768466486765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56768466486765 - 27 = 56768466486637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56768466486769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365809429 + ... + 365964581.

It is an arithmetic number, because the mean of its divisors is an integer number (1096590304116).

Almost surely, 256768466486765 is an apocalyptic number.

56768466486765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56768466486765 is a deficient number, since it is larger than the sum of its proper divisors (48504202708371).

56768466486765 is a wasteful number, since it uses less digits than its factorization.

56768466486765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162879 (or 162862 counting only the distinct ones).

The product of its digits is 58525286400, while the sum is 84.

The spelling of 56768466486765 in words is "fifty-six trillion, seven hundred sixty-eight billion, four hundred sixty-six million, four hundred eighty-six thousand, seven hundred sixty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 289 561 867 935 1445 2805 3179 4335 7673 9537 15895 23019 38365 47685 84403 115095 130441 155153 253209 391323 422015 465459 652205 775765 1266045 1434851 1706683 1956615 2217497 2327295 2637601 4304553 5120049 6652491 7174255 7912803 8533415 11087485 13188005 21522765 24392467 25600245 29013611 33262455 39564015 44839217 73177401 87040833 121962335 134517651 145068055 224196085 365887005 435204165 493231387 672588255 1190488969 1479694161 2466156935 3571466907 5952444845 7398470805 13095378659 17857334535 20238312473 39286135977 60714937419 65476893295 101191562365 196430679885 222621437203 303574687095 344051312041 667864311609 1032153936123 1113107186015 1720256560205 3339321558045 3784564432451 5160769680615 11353693297353 18922822162255 56768466486765