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82145634553 is a prime number
BaseRepresentation
bin100110010000001000…
…0101110100011111001
321212000212111121021101
41030200100232203321
52321213240301203
6101423122011401
75635434241633
oct1144020564371
9255025447241
1082145634553
1131924084084
1213b064a6b61
137991810068
143d93b03a53
15220ba4c41d
hex132042e8f9

82145634553 has 2 divisors, whose sum is σ = 82145634554. Its totient is φ = 82145634552.

The previous prime is 82145634497. The next prime is 82145634587. The reversal of 82145634553 is 35543654128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43859668329 + 38285966224 = 209427^2 + 195668^2 .

It is a cyclic number.

It is not a de Polignac number, because 82145634553 - 229 = 81608763641 is a prime.

It is a super-2 number, since 2×821456345532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82145634353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41072817276 + 41072817277.

It is an arithmetic number, because the mean of its divisors is an integer number (41072817277).

Almost surely, 282145634553 is an apocalyptic number.

It is an amenable number.

82145634553 is a deficient number, since it is larger than the sum of its proper divisors (1).

82145634553 is an equidigital number, since it uses as much as digits as its factorization.

82145634553 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728000, while the sum is 46.

The spelling of 82145634553 in words is "eighty-two billion, one hundred forty-five million, six hundred thirty-four thousand, five hundred fifty-three".