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81620656066260 = 22325929488103433
BaseRepresentation
bin10010100011101111001010…
…001101100000111011010100
3101200222212011212011101120100
4102203233022031200323110
541144233100423110020
6445332002312334100
723122616642312043
oct2243571215407324
9350885155141510
1081620656066260
1124009142559973
1291a27686a4330
133670a4435c06c
14162266474655a
1596821967da90
hex4a3bca360ed4

81620656066260 has 72 divisors (see below), whose sum is σ = 247849161716520. Its totient is φ = 21742079275008.

The previous prime is 81620656066259. The next prime is 81620656066387. The reversal of 81620656066260 is 6266065602618.

81620656066260 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 0 + 6 + 5 + 6 + 0 + 6 + 626 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4102034521104 + 77518621545156 = 2025348^2 + 8804466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 81620656066197 and 81620656066206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243884497 + ... + 244218936.

It is an arithmetic number, because the mean of its divisors is an integer number (3442349468285).

Almost surely, 281620656066260 is an apocalyptic number.

It is an amenable number.

81620656066260 is an abundant number, since it is smaller than the sum of its proper divisors (166228505650260).

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

81620656066260 is a wasteful number, since it uses less digits than its factorization.

81620656066260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488104377 (or 488104372 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 81620656066260 in words is "eighty-one trillion, six hundred twenty billion, six hundred fifty-six million, sixty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 929 1858 2787 3716 4645 5574 8361 9290 11148 13935 16722 18580 27870 33444 41805 55740 83610 167220 488103433 976206866 1464310299 1952413732 2440517165 2928620598 4392930897 4881034330 5857241196 7321551495 8785861794 9762068660 14643102990 17571723588 21964654485 29286205980 43929308970 87858617940 453448089257 906896178514 1360344267771 1813792357028 2267240446285 2720688535542 4081032803313 4534480892570 5441377071084 6801721338855 8162065606626 9068961785140 13603442677710 16324131213252 20405164016565 27206885355420 40810328033130 81620656066260