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82420080406206 = 23412233271459317
BaseRepresentation
bin10010101111010111101011…
…100111010110111010111110
3101210211021122010002120102020
4102233113223213112322332
541300332311040444311
6451143132350341010
723234440266140634
oct2257275347267276
9353737563076366
1082420080406206
112429718377a754
1292b16921ba766
1336cb245c8278a
14164d22045d354
1597de0715ec06
hex4af5eb9d6ebe

82420080406206 has 64 divisors (see below), whose sum is σ = 169670099644416. Its totient is φ = 26674868563200.

The previous prime is 82420080406201. The next prime is 82420080406217. The reversal of 82420080406206 is 60260408002428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82420080406201) by changing a digit.

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, 179210860 + ... + 179670176.

It is an arithmetic number, because the mean of its divisors is an integer number (2651095306944).

Almost surely, 282420080406206 is an apocalyptic number.

82420080406206 is an abundant number, since it is smaller than the sum of its proper divisors (87250019238210).

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

82420080406206 is a wasteful number, since it uses less digits than its factorization.

82420080406206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462857.

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 82420080406206 in words is "eighty-two trillion, four hundred twenty billion, eighty million, four hundred six thousand, two hundred six".

Divisors: 1 2 3 6 41 82 123 223 246 446 669 1338 3271 6542 9143 9813 18286 19626 27429 54858 134111 268222 402333 459317 729433 804666 918634 1377951 1458866 2188299 2755902 4376598 18831997 29906753 37663994 56495991 59813506 89720259 102427691 112991982 179440518 204855382 307283073 614566146 1502425907 3004851814 4199535331 4507277721 8399070662 9014555442 12598605993 25197211986 61599462187 123198924374 184798386561 335040977261 369596773122 670081954522 1005122931783 2010245863566 13736680067701 27473360135402 41210040203103 82420080406206