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82382377441 = 7213267148483
BaseRepresentation
bin100110010111001011…
…1110101000111100001
321212122100222101110111
41030232113311013201
52322204342034231
6101502420131321
75644340440300
oct1145627650741
9255570871414
1082382377441
1131a35782561
1213b71836b41
1379cb890500
143db732c437
1522227134b1
hex132e5f51e1

82382377441 has 36 divisors (see below), whose sum is σ = 105320889072. Its totient is φ = 64208368224.

The previous prime is 82382377423. The next prime is 82382377513. The reversal of 82382377441 is 14477328328.

It is not a de Polignac number, because 82382377441 - 25 = 82382377409 is a prime.

It is a super-2 number, since 2×823823774412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (82382377741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480586 + ... + 629068.

It is an arithmetic number, because the mean of its divisors is an integer number (2925580252).

Almost surely, 282382377441 is an apocalyptic number.

It is an amenable number.

82382377441 is a deficient number, since it is larger than the sum of its proper divisors (22938511631).

82382377441 is a wasteful number, since it uses less digits than its factorization.

82382377441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148590 (or 148570 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 49.

The spelling of 82382377441 in words is "eighty-two billion, three hundred eighty-two million, three hundred seventy-seven thousand, four hundred forty-one".

Divisors: 1 7 13 49 67 91 169 469 637 871 1183 3283 6097 8281 11323 42679 79261 148483 554827 1039381 1930279 7275667 9948361 13511953 25093627 69638527 94583671 129328693 175655389 487469689 905300851 1229587723 1681273009 6337105957 11768911063 82382377441