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30767615649 = 325929912
BaseRepresentation
bin11100101001111001…
…001000111010100001
32221102020200211002100
4130221321020322201
51001003002200044
622045012441013
72136310263231
oct345171107241
987366624070
1030767615649
1112059576031
125b68019169
132b94419944
1416bc383cc1
15c01205869
hex729e48ea1

30767615649 has 27 divisors (see below), whose sum is σ = 45253799409. Its totient is φ = 20143739880.

The previous prime is 30767615647. The next prime is 30767615657. The reversal of 30767615649 is 94651676703.

It is a happy number.

The square root of 30767615649 is 175407.

It is a perfect power (a square), and thus also a powerful number.

30767615649 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 76 + 1 + 564 + 9 = 666.

It is not a de Polignac number, because 30767615649 - 21 = 30767615647 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30767615595 and 30767615604.

It is not an unprimeable number, because it can be changed into a prime (30767615647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31046544 + ... + 31047534.

Almost surely, 230767615649 is an apocalyptic number.

30767615649 is the 175407-th square number.

30767615649 is the 87704-th centered octagonal number.

It is an amenable number.

30767615649 is a deficient number, since it is larger than the sum of its proper divisors (14486183760).

30767615649 is an frugal number, since it uses more digits than its factorization.

30767615649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

It can be divided in two parts, 30767 and 615649, that added together give a square (646416 = 8042).

The spelling of 30767615649 in words is "thirty billion, seven hundred sixty-seven million, six hundred fifteen thousand, six hundred forty-nine".

Divisors: 1 3 9 59 177 531 991 2973 3481 8919 10443 31329 58469 175407 526221 982081 2946243 3449671 8838729 10349013 31047039 57942779 173828337 521485011 3418623961 10255871883 30767615649