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83082730323672 = 23332111822949147
BaseRepresentation
bin10010111001000000110100…
…101000001011111011011000
3101220011122001022211012001000
4102321000310220023323120
541342211412430324142
6452411402430025000
723333346336406362
oct2271006450137330
9356148038735030
1083082730323672
112452220833a542
129399ba6348160
13374888b369a61
1416733230add32
1599128c1c114c
hex4b9034a0bed8

83082730323672 has 64 divisors (see below), whose sum is σ = 231879131625600. Its totient is φ = 27562991087520.

The previous prime is 83082730323661. The next prime is 83082730323673. The reversal of 83082730323672 is 27632303728038.

It is a happy number.

83082730323672 is a `hidden beast` number, since 8 + 3 + 0 + 8 + 273 + 0 + 3 + 2 + 367 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83082730323673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911428998 + ... + 911520149.

It is an arithmetic number, because the mean of its divisors is an integer number (3623111431650).

Almost surely, 283082730323672 is an apocalyptic number.

It is an amenable number.

83082730323672 is an abundant number, since it is smaller than the sum of its proper divisors (148796401301928).

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

83082730323672 is a wasteful number, since it uses less digits than its factorization.

83082730323672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822949373 (or 1822949363 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 83082730323672 in words is "eighty-three trillion, eighty-two billion, seven hundred thirty million, three hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 422 633 844 1266 1688 1899 2532 3798 5064 5697 7596 11394 15192 22788 45576 1822949147 3645898294 5468847441 7291796588 10937694882 14583593176 16406542323 21875389764 32813084646 43750779528 49219626969 65626169292 98439253938 131252338584 196878507876 384642270017 393757015752 769284540034 1153926810051 1538569080068 2307853620102 3077138160136 3461780430153 4615707240204 6923560860306 9231414480408 10385341290459 13847121720612 20770682580918 27694243441224 41541365161836 83082730323672