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82835668483668 = 22327132408321003
BaseRepresentation
bin10010110101011010101110…
…100110000011111001010100
3101212022000100011101022201100
4102311122232212003321110
541324134422112434133
6452102103013230100
723306452041412632
oct2265325646037124
9355260304338640
1082835668483668
11244374563793a1
12935a135932330
13372b4a6c1ca99
1416653a69a8352
15989b2c2d2e13
hex4b56ae983e54

82835668483668 has 36 divisors (see below), whose sum is σ = 212339319218208. Its totient is φ = 27222989641680.

The previous prime is 82835668483663. The next prime is 82835668483709. The reversal of 82835668483668 is 86638486653828.

82835668483668 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 566 + 8 + 48 + 3 + 6 + 6 + 8 = 666.

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

It is a super-2 number, since 2×828356684836682 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82835668483663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16204157946 + ... + 16204163057.

It is an arithmetic number, because the mean of its divisors is an integer number (5898314422728).

Almost surely, 282835668483668 is an apocalyptic number.

It is an amenable number.

82835668483668 is an abundant number, since it is smaller than the sum of its proper divisors (129503650734540).

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

82835668483668 is a wasteful number, since it uses less digits than its factorization.

82835668483668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32408321084 (or 32408321079 counting only the distinct ones).

The product of its digits is 15288238080, while the sum is 81.

The spelling of 82835668483668 in words is "eighty-two trillion, eight hundred thirty-five billion, six hundred sixty-eight million, four hundred eighty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 32408321003 64816642006 97224963009 129633284012 194449926018 291674889027 388899852036 583349778054 1166699556108 2300990791213 4601981582426 6902972373639 9203963164852 13805944747278 20708917120917 27611889494556 41417834241834 82835668483668