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56725633652765 = 57111937972042323
BaseRepresentation
bin11001110010111011101110…
…01111100101100000011101
321102211220202221102200202212
430321131313033211200131
524413343044203342030
6320351221335530205
714643202040260340
oct1471356717454035
9242756687380685
1056725633652765
111709022a3a9930
126441983b29965
132586286b0557c
14100176ccac457
1568586d2db595
hex3397773e581d

56725633652765 has 64 divisors (see below), whose sum is σ = 89357720279040. Its totient is φ = 33491466627840.

The previous prime is 56725633652761. The next prime is 56725633652839.

It is a happy number.

56725633652765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56725633652765 - 22 = 56725633652761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56725633652695 and 56725633652704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56725633652761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26753894 + ... + 28796216.

It is an arithmetic number, because the mean of its divisors is an integer number (1396214379360).

Almost surely, 256725633652765 is an apocalyptic number.

56725633652765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56725633652765 is a deficient number, since it is larger than the sum of its proper divisors (32632086626275).

56725633652765 is a wasteful number, since it uses less digits than its factorization.

56725633652765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046162.

The product of its digits is 1428840000, while the sum is 68.

The spelling of 56725633652765 in words is "fifty-six trillion, seven hundred twenty-five billion, six hundred thirty-three million, six hundred fifty-two thousand, seven hundred sixty-five".

Divisors: 1 5 7 11 19 35 55 77 95 133 209 385 665 1045 1463 3797 7315 18985 26579 41767 72143 132895 208835 292369 360715 505001 793573 1461845 2042323 2525005 3967865 5555011 10211615 14296261 22465553 27775055 38804137 71481305 112327765 157258871 194020685 271628959 426845507 786294355 1358144795 2134227535 2987918549 7754700431 14939592745 38773502155 54282903017 85301704741 147339308189 271414515085 426508523705 597111933187 736696540945 1031375157323 1620732390079 2985559665935 5156875786615 8103661950395 11345126730553 56725633652765