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82481385525 = 35271114282491
BaseRepresentation
bin100110011010001000…
…1100001000000110101
321212220021021112000120
41030310101201000311
52322410213314100
6101520314202153
75646652131510
oct1146421410065
9255807245016
1082481385525
1131a86656820
1213b9aa23359
137a16247686
143dc6541d77
15222b26e0a0
hex1334461035

82481385525 has 48 divisors (see below), whose sum is σ = 170018784768. Its totient is φ = 34277976000.

The previous prime is 82481385523. The next prime is 82481385529. The reversal of 82481385525 is 52558318428.

It is a happy number.

It is not a de Polignac number, because 82481385525 - 21 = 82481385523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82481385523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7135471 + ... + 7147020.

It is an arithmetic number, because the mean of its divisors is an integer number (3542058016).

Almost surely, 282481385525 is an apocalyptic number.

It is an amenable number.

82481385525 is an abundant number, since it is smaller than the sum of its proper divisors (87537399243).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82481385525 is a wasteful number, since it uses less digits than its factorization.

82481385525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14282522 (or 14282517 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 51.

The spelling of 82481385525 in words is "eighty-two billion, four hundred eighty-one million, three hundred eighty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 14282491 42847473 71412455 99977437 157107401 214237365 299932311 357062275 471322203 499887185 785537005 1071186825 1099751807 1499661555 2356611015 2499435925 3299255421 3927685025 5498759035 7498307775 11783055075 16496277105 27493795175 82481385525