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48893612161 = 172130072
BaseRepresentation
bin101101100010010010…
…010101000010000001
311200012110221211211111
4231202102111002001
51300113231042121
634243355443321
73350425563142
oct554222250201
9150173854744
1048893612161
1119810195539
129586456541
1347c2793674
14251b80bac9
15141269b2e1
hexb62495081

48893612161 has 9 divisors (see below), whose sum is σ = 51942882499. Its totient is φ = 46013979424.

The previous prime is 48893612147. The next prime is 48893612167. The reversal of 48893612161 is 16121639884.

It is a happy number.

The square root of 48893612161 is 221119.

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

It can be written as a sum of positive squares in only one way, i.e., 38065961025 + 10827651136 = 195105^2 + 104056^2 .

It is a de Polignac number, because none of the positive numbers 2k-48893612161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48893612167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3752520 + ... + 3765526.

Almost surely, 248893612161 is an apocalyptic number.

48893612161 is the 221119-th square number.

48893612161 is the 110560-th centered octagonal number.

It is an amenable number.

48893612161 is a deficient number, since it is larger than the sum of its proper divisors (3049270338).

48893612161 is an frugal number, since it uses more digits than its factorization.

48893612161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26048 (or 13024 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

Multiplying 48893612161 by its sum of digits (49), we get a square (2395786995889 = 15478332).

The spelling of 48893612161 in words is "forty-eight billion, eight hundred ninety-three million, six hundred twelve thousand, one hundred sixty-one".

Divisors: 1 17 289 13007 221119 3759023 169182049 2876094833 48893612161