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12422772144 = 24332310112379
BaseRepresentation
bin10111001000111010…
…00111010110110000
31012001202122012201000
423210131013112300
5200420212202034
65412411042000
7616563551406
oct134435072660
935052565630
1012422772144
1152a5370642
1224a8440300
13122c91a263
1485bc2d476
154ca931599
hex2e47475b0

12422772144 has 160 divisors (see below), whose sum is σ = 37579737600. Its totient is φ = 3921350400.

The previous prime is 12422772143. The next prime is 12422772161. The reversal of 12422772144 is 44127722421.

12422772144 is a `hidden beast` number, since 1 + 242 + 277 + 2 + 144 = 666.

12422772144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12422772099 and 12422772108.

It is not an unprimeable number, because it can be changed into a prime (12422772143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997347 + ... + 1009725.

It is an arithmetic number, because the mean of its divisors is an integer number (234873360).

Almost surely, 212422772144 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 12422772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18789868800).

12422772144 is an abundant number, since it is smaller than the sum of its proper divisors (25156965456).

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

12422772144 is a wasteful number, since it uses less digits than its factorization.

12422772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12520 (or 12508 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

It can be divided in two parts, 1242277 and 2144, that added together give a palindrome (1244421).

The spelling of 12422772144 in words is "twelve billion, four hundred twenty-two million, seven hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 101 108 138 144 184 202 207 216 276 303 368 404 414 432 552 606 621 808 828 909 1104 1212 1242 1616 1656 1818 2323 2424 2484 2727 3312 3636 4646 4848 4968 5454 6969 7272 9292 9936 10908 12379 13938 14544 18584 20907 21816 24758 27876 37137 37168 41814 43632 49516 55752 62721 74274 83628 99032 111411 111504 125442 148548 167256 198064 222822 250884 284717 297096 334233 334512 445644 501768 569434 594192 668466 854151 891288 1003536 1138868 1250279 1336932 1708302 1782576 2277736 2500558 2562453 2673864 3416604 3750837 4555472 5001116 5124906 5347728 6833208 7501674 7687359 10002232 10249812 11252511 13666416 15003348 15374718 20004464 20499624 22505022 28756417 30006696 30749436 33757533 40999248 45010044 57512834 60013392 61498872 67515066 86269251 90020088 115025668 122997744 135030132 172538502 180040176 230051336 258807753 270060264 345077004 460102672 517615506 540120528 690154008 776423259 1035231012 1380308016 1552846518 2070462024 3105693036 4140924048 6211386072 12422772144