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82390453541 = 1128160144351
BaseRepresentation
bin100110010111011011…
…0101000110100100101
321212122221011200210022
41030232312220310211
52322213424003131
6101503305204525
75644466204624
oct1145666506445
9255587150708
1082390453541
1131a3a299220
1213b74490745
137a0045a476
143db84316bb
1522232ab37b
hex132eda8d25

82390453541 has 16 divisors (see below), whose sum is σ = 90352475136. Its totient is φ = 74508000000.

The previous prime is 82390453517. The next prime is 82390453571. The reversal of 82390453541 is 14535409328.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82390453541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82390453492 and 82390453501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82390453511) 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 15 ways as a sum of consecutive naturals, for example, 1835516 + ... + 1879866.

It is an arithmetic number, because the mean of its divisors is an integer number (5647029696).

Almost surely, 282390453541 is an apocalyptic number.

It is an amenable number.

82390453541 is a deficient number, since it is larger than the sum of its proper divisors (7962021595).

82390453541 is a wasteful number, since it uses less digits than its factorization.

82390453541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45244.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 82390453541 in words is "eighty-two billion, three hundred ninety million, four hundred fifty-three thousand, five hundred forty-one".

Divisors: 1 11 281 601 3091 6611 44351 168881 487861 1857691 12462631 26654951 137088941 293204461 7490041231 82390453541