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12244524504520 = 2357117873504953
BaseRepresentation
bin1011001000101110011010…
…0010001001010111001000
31121100120020222001222011211
42302023212202021113020
53101103241233121040
642013020142502504
72402431506010420
oct262134642112710
947316228058154
1012244524504520
1139a0967961280
1214590a2594a34
136aa866267609
143048d1115480
151637951aa8ea
hexb22e68895c8

12244524504520 has 128 divisors (see below), whose sum is σ = 34352707357440. Its totient is φ = 3815982858240.

The previous prime is 12244524504503. The next prime is 12244524504521. The reversal of 12244524504520 is 2540542544221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12244524504521) 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, 23996364 + ... + 24501316.

It is an arithmetic number, because the mean of its divisors is an integer number (268380526230).

Almost surely, 212244524504520 is an apocalyptic number.

12244524504520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12244524504520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176353678720).

12244524504520 is an abundant number, since it is smaller than the sum of its proper divisors (22108182852920).

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

12244524504520 is a wasteful number, since it uses less digits than its factorization.

12244524504520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512855 (or 512851 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

The spelling of 12244524504520 in words is "twelve trillion, two hundred forty-four billion, five hundred twenty-four million, five hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 7873 15746 31492 39365 55111 62984 78730 86603 110222 157460 173206 220444 275555 314920 346412 433015 440888 504953 551110 606221 692824 866030 1009906 1102220 1212442 1732060 2019812 2204440 2424884 2524765 3031105 3464120 3534671 4039624 4849768 5049530 5554483 6062210 7069342 10099060 11108966 12124420 14138684 17673355 20198120 22217932 24248840 27772415 28277368 35346710 38881381 44435864 55544830 70693420 77762762 111089660 141386840 155525524 194406905 222179320 311051048 388813810 777627620 1555255240 3975494969 7950989938 15901979876 19877474845 27828464783 31803959752 39754949690 43730444659 55656929566 79509899380 87460889318 111313859132 139142323915 159019798760 174921778636 218652223295 222627718264 278284647830 306113112613 349843557272 437304446590 556569295660 612226225226 874608893180 1113138591320 1224452450452 1530565563065 1749217786360 2448904900904 3061131126130 6122262252260 12244524504520