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82374586657782 = 231731112172133743
BaseRepresentation
bin10010101110101101010011…
…111110011110101111110110
3101210122221012120120200211220
4102232231103332132233312
541244111123141022112
6451110210201411210
723231240022513606
oct2256552376365766
9353587176520756
1082374586657782
1124279958738161
1292a48b6499b06
1336c6b75997c03
14164ad463c4c06
1597cb431e098c
hex4aeb53f9ebf6

82374586657782 has 64 divisors (see below), whose sum is σ = 175145081739264. Its totient is φ = 25738732298240.

The previous prime is 82374586657747. The next prime is 82374586657823. The reversal of 82374586657782 is 28775668547328.

It is a junction number, because it is equal to n+sod(n) for n = 82374586657698 and 82374586657707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37538803 + ... + 39672545.

It is an arithmetic number, because the mean of its divisors is an integer number (2736641902176).

Almost surely, 282374586657782 is an apocalyptic number.

82374586657782 is an abundant number, since it is smaller than the sum of its proper divisors (92770495081482).

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

82374586657782 is a wasteful number, since it uses less digits than its factorization.

82374586657782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135293.

The product of its digits is 7586611200, while the sum is 78.

The spelling of 82374586657782 in words is "eighty-two trillion, three hundred seventy-four billion, five hundred eighty-six million, six hundred fifty-seven thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 17 34 51 102 311 622 933 1217 1866 2434 3651 5287 7302 10574 15861 20689 31722 41378 62067 124134 378487 756974 1135461 2133743 2270922 4267486 6401229 6434279 12802458 12868558 19302837 36273631 38605674 72547262 108820893 217641786 663594073 1327188146 1990782219 2596765231 3981564438 5193530462 7790295693 11281099241 15580591386 22562198482 33843297723 44145008927 67686595446 88290017854 132435026781 264870053562 807593986841 1615187973682 2422781960523 4845563921046 13729097776297 27458195552594 41187293328891 82374586657782