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54082435222392 = 23341711914052933
BaseRepresentation
bin11000100110000000011000…
…10101110000101101111000
321002111020012220021011011220
430103000030111300231320
524042041311404104032
6311005043332152040
714251220106311463
oct1423001425605570
9232436186234156
1054082435222392
1116261260836425
126095656168620
132423c4b0221c5
14d4d864cb02da
1563bc1ccbb12c
hex31300c570b78

54082435222392 has 128 divisors (see below), whose sum is σ = 141189954232320. Its totient is φ = 17249278592000.

The previous prime is 54082435222379. The next prime is 54082435222451. The reversal of 54082435222392 is 29322253428045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11317558 + ... + 15370490.

It is an arithmetic number, because the mean of its divisors is an integer number (1103046517440).

Almost surely, 254082435222392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54082435222392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70594977116160).

54082435222392 is an abundant number, since it is smaller than the sum of its proper divisors (87107519009928).

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

54082435222392 is a wasteful number, since it uses less digits than its factorization.

54082435222392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053245 (or 4053241 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 54082435222392 in words is "fifty-four trillion, eighty-two billion, four hundred thirty-five million, two hundred twenty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 71 82 123 142 164 191 213 246 284 328 382 426 492 568 573 764 852 984 1146 1528 1704 2292 2911 4584 5822 7831 8733 11644 13561 15662 17466 23288 23493 27122 31324 34932 40683 46986 54244 62648 69864 81366 93972 108488 162732 187944 325464 556001 1112002 1668003 2224004 3336006 4052933 4448008 6672012 8105866 12158799 13344024 16211732 24317598 32423464 48635196 97270392 166170253 287758243 332340506 498510759 575516486 664681012 774110203 863274729 997021518 1151032972 1329362024 1548220406 1726549458 1994043036 2302065944 2322330609 3096440812 3453098916 3988086072 4644661218 6192881624 6906197832 9289322436 11798087963 18578644872 23596175926 31738518323 35394263889 47192351852 54961824413 63477036646 70788527778 94384703704 95215554969 109923648826 126954073292 141577055556 164885473239 190431109938 219847297652 253908146584 283154111112 329770946478 380862219876 439694595304 659541892956 761724439752 1319083785912 2253434800933 4506869601866 6760304402799 9013739203732 13520608805598 18027478407464 27041217611196 54082435222392