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82166011982453 = 7231463971120319
BaseRepresentation
bin10010101011101011000011…
…111101001111001001110101
3101202220222211122112101002202
4102223223003331033021311
541232201443031414303
6450430313402314245
723210204242154300
oct2253530375171165
9352828748471082
1082166011982453
11241a9456778523
1292703a71b8985
1336b02b6065c69
141640bdb5a5b37
159774d70a6c88
hex4abac3f4f275

82166011982453 has 48 divisors (see below), whose sum is σ = 98979875389440. Its totient is φ = 67938328735200.

The previous prime is 82166011982437. The next prime is 82166011982459. The reversal of 82166011982453 is 35428911066128.

It is not a de Polignac number, because 82166011982453 - 24 = 82166011982437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82166011982459) 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, 682841228 + ... + 682961546.

It is an arithmetic number, because the mean of its divisors is an integer number (2062080737280).

Almost surely, 282166011982453 is an apocalyptic number.

It is an amenable number.

82166011982453 is a deficient number, since it is larger than the sum of its proper divisors (16813863406987).

82166011982453 is a wasteful number, since it uses less digits than its factorization.

82166011982453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121798 (or 121791 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

The spelling of 82166011982453 in words is "eighty-two trillion, one hundred sixty-six billion, eleven million, nine hundred eighty-two thousand, four hundred fifty-three".

Divisors: 1 7 31 49 217 463 971 1519 3241 6797 14353 22687 30101 47579 100471 120319 210707 449573 703297 842233 1474949 3147011 3729889 5895631 13936763 22029077 26109223 55707697 97557341 116829749 182764561 389953879 682901387 817808243 1726938607 2729677153 3621722219 5724657701 12088570249 25352055533 54092173787 84619991743 177464388731 378645216509 1676857387397 2650516515563 11738001711779 82166011982453