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828804810503412 = 22321311709102833923
BaseRepresentation
bin1011110001110010110010100…
…0010100010111010011110100
311000200112222002021022202220100
42330130230220110113103310
51332113114222442102122
612054415401302234100
7336401112556215351
oct27434545024272364
94020488067282810
10828804810503412
112200a01676a5706
1278b57b12125930
132975cc5c431372
141089451c969628
1565c41ad81eaac
hex2f1cb285174f4

828804810503412 has 72 divisors (see below), whose sum is σ = 2112262272600480. Its totient is φ = 273998928490560.

The previous prime is 828804810503381. The next prime is 828804810503477. The reversal of 828804810503412 is 214305018408828.

828804810503412 is a `hidden beast` number, since 8 + 2 + 8 + 80 + 4 + 8 + 10 + 503 + 41 + 2 = 666.

828804810503412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43357318 + ... + 59476605.

It is an arithmetic number, because the mean of its divisors is an integer number (29336976008340).

Almost surely, 2828804810503412 is an apocalyptic number.

It is an amenable number.

828804810503412 is an abundant number, since it is smaller than the sum of its proper divisors (1283457462097068).

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

828804810503412 is a wasteful number, since it uses less digits than its factorization.

828804810503412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102835773 (or 102835768 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 828804810503412 in words is "eight hundred twenty-eight trillion, eight hundred four billion, eight hundred ten million, five hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 1709 2358 3418 4716 5127 6836 10254 15381 20508 30762 61524 223879 447758 671637 895516 1343274 2014911 2686548 4029822 8059644 102833923 205667846 308501769 411335692 617003538 925505307 1234007076 1851010614 3702021228 13471243913 26942487826 40413731739 53884975652 80827463478 121241195217 161654926956 175743174407 242482390434 351486348814 484964780868 527229523221 702972697628 1054459046442 1581688569663 2108918092884 3163377139326 6326754278652 23022355847317 46044711694634 69067067541951 92089423389268 138134135083902 207201202625853 276268270167804 414402405251706 828804810503412