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5524092967344 = 2437612391127701
BaseRepresentation
bin101000001100010110110…
…0110010101100110110000
3201120002122112111101120120
41100120231212111212300
51211001320244423334
615425422215410240
71110050113324020
oct120305546254660
921502575441516
105524092967344
11183a833515a16
12752733683980
13310bc585bb23
141515206c5a80
1598a635ab949
hex5062d9959b0

5524092967344 has 160 divisors (see below), whose sum is σ = 16645964113920. Its totient is φ = 1545941376000.

The previous prime is 5524092967343. The next prime is 5524092967387. The reversal of 5524092967344 is 4437692904255.

It is a happy number.

It is a super-2 number, since 2×55240929673442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5524092967343) by changing a digit.

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, 4334694 + ... + 5462394.

It is an arithmetic number, because the mean of its divisors is an integer number (104037275712).

Almost surely, 25524092967344 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 5524092967344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322982056960).

5524092967344 is an abundant number, since it is smaller than the sum of its proper divisors (11121871146576).

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

5524092967344 is a wasteful number, since it uses less digits than its factorization.

5524092967344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128019 (or 1128013 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 5524092967344 in words is "five trillion, five hundred twenty-four billion, ninety-two million, nine hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 239 244 336 366 427 478 488 717 732 854 956 976 1281 1434 1464 1673 1708 1912 2562 2868 2928 3346 3416 3824 5019 5124 5736 6692 6832 10038 10248 11472 13384 14579 20076 20496 26768 29158 40152 43737 58316 80304 87474 102053 116632 174948 204106 233264 306159 349896 408212 612318 699792 816424 1127701 1224636 1632848 2255402 2449272 3383103 4510804 4898544 6766206 7893907 9021608 13532412 15787814 18043216 23681721 27064824 31575628 47363442 54129648 63151256 68789761 94726884 126302512 137579522 189453768 206369283 269520539 275159044 378907536 412738566 481528327 539041078 550318088 808561617 825477132 963056654 1078082156 1100636176 1444584981 1617123234 1650954264 1886643773 1926113308 2156164312 2889169962 3234246468 3301908528 3773287546 3852226616 4312328624 5659931319 5778339924 6468492936 7546575092 7704453232 11319862638 11556679848 12936985872 15093150184 16440752879 22639725276 23113359696 30186300368 32881505758 45279450552 49322258637 65763011516 90558901104 98644517274 115085270153 131526023032 197289034548 230170540306 263052046064 345255810459 394578069096 460341080612 690511620918 789156138192 920682161224 1381023241836 1841364322448 2762046483672 5524092967344