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82646864628 = 223371071739641
BaseRepresentation
bin100110011111000100…
…0110001001011110100
321220022210122201200020
41030332020301023310
52323230044132003
6101544545045140
75654031521046
oct1147610611364
9256283581606
1082646864628
1132061000709
12140263267b0
137a41605cc3
1440004d9a96
15223aa59d53
hex133e2312f4

82646864628 has 48 divisors (see below), whose sum is σ = 199905741504. Its totient is φ = 26553864960.

The previous prime is 82646864567. The next prime is 82646864647.

It is a happy number.

82646864628 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822313 + ... + 917328.

It is an arithmetic number, because the mean of its divisors is an integer number (4164702948).

Almost surely, 282646864628 is an apocalyptic number.

It is an amenable number.

82646864628 is an abundant number, since it is smaller than the sum of its proper divisors (117258876876).

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

82646864628 is a wasteful number, since it uses less digits than its factorization.

82646864628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739792 (or 1739790 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 60.

The spelling of 82646864628 in words is "eighty-two billion, six hundred forty-six million, eight hundred sixty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 37 74 107 111 148 214 222 321 428 444 642 1284 3959 7918 11877 15836 23754 47508 1739641 3479282 5218923 6958564 10437846 20875692 64366717 128733434 186141587 193100151 257466868 372283174 386200302 558424761 744566348 772400604 1116849522 2233699044 6887238719 13774477438 20661716157 27548954876 41323432314 82646864628