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82148382612 = 22325938676263
BaseRepresentation
bin100110010000001101…
…1001101011110010100
321212001001200012220100
41030200123031132110
52321214441220422
6101423300534100
75635466505522
oct1144033153624
9255031605810
1082148382612
11319256907aa
1213b073b1330
137992262b2a
143d9421b312
15220bde17ac
hex13206cd794

82148382612 has 36 divisors (see below), whose sum is σ = 211172401440. Its totient is φ = 26918678352.

The previous prime is 82148382593. The next prime is 82148382677. The reversal of 82148382612 is 21628384128.

82148382612 is a `hidden beast` number, since 8 + 21 + 4 + 8 + 3 + 8 + 2 + 612 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19336008 + ... + 19340255.

It is an arithmetic number, because the mean of its divisors is an integer number (5865900040).

Almost surely, 282148382612 is an apocalyptic number.

It is an amenable number.

82148382612 is an abundant number, since it is smaller than the sum of its proper divisors (129024018828).

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

82148382612 is a wasteful number, since it uses less digits than its factorization.

82148382612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38676332 (or 38676327 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 82148382612 in words is "eighty-two billion, one hundred forty-eight million, three hundred eighty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 38676263 77352526 116028789 154705052 232057578 348086367 464115156 696172734 1392345468 2281899517 4563799034 6845698551 9127598068 13691397102 20537095653 27382794204 41074191306 82148382612