Search a number
-
+
2552789552769 = 323734722092319
BaseRepresentation
bin100101001001011110000…
…111010100111010000001
3100001001012021220200211200
4211021132013110322001
5313311103111142034
65232422455331413
7352301335114161
oct45113607247201
910031167820750
102552789552769
118a46a5173645
123528b8080b69
1315695b361ab1
148b7acaa85a1
154660d329a99
hex2525e1d4e81

2552789552769 has 24 divisors (see below), whose sum is σ = 3797934915840. Its totient is φ = 1651091478048.

The previous prime is 2552789552767. The next prime is 2552789552771. The reversal of 2552789552769 is 9672559872552.

2552789552769 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 7 + 8 + 9 + 552 + 7 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (2552789552767) and next prime (2552789552771).

It is not a de Polignac number, because 2552789552769 - 21 = 2552789552767 is a prime.

It is a super-2 number, since 2×25527895527692 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2552789552697 and 2552789552706.

It is not an unprimeable number, because it can be changed into a prime (2552789552767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10930609 + ... + 11161710.

It is an arithmetic number, because the mean of its divisors is an integer number (158247288160).

Almost surely, 22552789552769 is an apocalyptic number.

It is an amenable number.

2552789552769 is a deficient number, since it is larger than the sum of its proper divisors (1245145363071).

2552789552769 is a wasteful number, since it uses less digits than its factorization.

2552789552769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092709 (or 22092706 counting only the distinct ones).

The product of its digits is 952560000, while the sum is 72.

The spelling of 2552789552769 in words is "two trillion, five hundred fifty-two billion, seven hundred eighty-nine million, five hundred fifty-two thousand, seven hundred sixty-nine".

Divisors: 1 3 9 37 111 333 347 1041 3123 12839 38517 115551 22092319 66276957 198830871 817415803 2452247409 7356742227 7666034693 22998104079 68994312237 283643283641 850929850923 2552789552769