Search a number
-
+
82830530257758 = 23329189149279637
BaseRepresentation
bin10010110101010101111100…
…010101010010001101011110
3101212021112002001220101212000
4102311111330111102031132
541324043411221222013
6452055453103223130
723306210520254313
oct2265257425221536
9355245061811760
1082830530257758
1124435259a411a8
129359140ba7aa6
13372ab6855551a
14166503a404d0a
1598992b175973
hex4b557c55235e

82830530257758 has 64 divisors (see below), whose sum is σ = 190416699720000. Its totient is φ = 26657865424512.

The previous prime is 82830530257721. The next prime is 82830530257763. The reversal of 82830530257758 is 85775203503828.

It is a happy number.

82830530257758 is a `hidden beast` number, since 8 + 2 + 8 + 3 + 0 + 5 + 3 + 0 + 2 + 577 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82830530257695 and 82830530257704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296067516 + ... + 296347152.

It is an arithmetic number, because the mean of its divisors is an integer number (2975260933125).

Almost surely, 282830530257758 is an apocalyptic number.

82830530257758 is an abundant number, since it is smaller than the sum of its proper divisors (107586169462242).

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

82830530257758 is a wasteful number, since it uses less digits than its factorization.

82830530257758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468826 (or 468820 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 82830530257758 in words is "eighty-two trillion, eight hundred thirty billion, five hundred thirty million, two hundred fifty-seven thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 189149 279637 378298 559274 567447 838911 1134894 1677822 1702341 2516733 3404682 5033466 5107023 5485321 7550199 8109473 10214046 10970642 15100398 16218946 16455963 24328419 32911926 48656838 49367889 72985257 98735778 145970514 148103667 218955771 296207334 437911542 52893058913 105786117826 158679176739 317358353478 476037530217 952075060434 1428112590651 1533898708477 2856225181302 3067797416954 4601696125431 9203392250862 13805088376293 27610176752586 41415265128879 82830530257758