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89995418461 = 132829642361
BaseRepresentation
bin101001111010000100…
…1010001101101011101
322121021221020221102201
41103310021101231131
52433302311342321
6105202054051501
76334112302204
oct1236411215535
9277257227381
1089995418461
11351920819a3
1215537349b91
138642ba9b00
1444da46823b
15251ac74291
hex14f4251b5d

89995418461 has 12 divisors (see below), whose sum is σ = 97568364180. Its totient is φ = 82972356480.

The previous prime is 89995418441. The next prime is 89995418483. The reversal of 89995418461 is 16481459998.

It can be written as a sum of positive squares in 6 ways, for example, as 3091916025 + 86903502436 = 55605^2 + 294794^2 .

It is not a de Polignac number, because 89995418461 - 29 = 89995417949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89995418393 and 89995418402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89995418441) 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 11 ways as a sum of consecutive naturals, for example, 181080 + ... + 461281.

It is an arithmetic number, because the mean of its divisors is an integer number (8130697015).

Almost surely, 289995418461 is an apocalyptic number.

It is an amenable number.

89995418461 is a deficient number, since it is larger than the sum of its proper divisors (7572945719).

89995418461 is a wasteful number, since it uses less digits than its factorization.

89995418461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643216 (or 643203 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 64.

The spelling of 89995418461 in words is "eighty-nine billion, nine hundred ninety-five million, four hundred eighteen thousand, four hundred sixty-one".

Divisors: 1 13 169 829 10777 140101 642361 8350693 108559009 532517269 6922724497 89995418461