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12044225485464 = 2334785929094273
BaseRepresentation
bin1010111101000100001111…
…0010000001101010011000
31120122102020210010112122120
42233101003302001222120
53034313033211013324
641341012451421240
72352111064310634
oct257210362015230
946572223115576
1012044225485464
113923a22326697
1214263028b4820
136949c5001cb3
142d8d2d437dc4
1515d47086d179
hexaf443c81a98

12044225485464 has 128 divisors (see below), whose sum is σ = 30804803712000. Its totient is φ = 3922480134144.

The previous prime is 12044225485463. The next prime is 12044225485609. The reversal of 12044225485464 is 46458452244021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044225485463) 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, 2818679232 + ... + 2818683504.

It is an arithmetic number, because the mean of its divisors is an integer number (240662529000).

Almost surely, 212044225485464 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 12044225485464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402401856000).

12044225485464 is an abundant number, since it is smaller than the sum of its proper divisors (18760578226536).

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

12044225485464 is a wasteful number, since it uses less digits than its factorization.

12044225485464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 51.

The spelling of 12044225485464 in words is "twelve trillion, forty-four billion, two hundred twenty-five million, four hundred eighty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 859 1128 1718 2577 2909 3436 4273 5154 5818 6872 8546 8727 10308 11636 12819 17092 17454 20616 23272 25638 34184 34908 40373 51276 69816 80746 102552 121119 136723 161492 200831 242238 273446 322984 401662 410169 484476 546892 602493 803324 820338 968952 1093784 1204986 1606648 1640676 2409972 2498831 3281352 3670507 4819944 4997662 7341014 7496493 9995324 11011521 12430157 14682028 14992986 19990648 22023042 24860314 29364056 29985972 37290471 44046084 49720628 59971944 74580942 88092168 99441256 117445057 149161884 172513829 234890114 298323768 345027658 352335171 469780228 517541487 584217379 690055316 704670342 939560456 1035082974 1168434758 1380110632 1409340684 1752652137 2070165948 2336869516 2818681368 3505304274 4140331896 4673739032 7010608548 10677504863 14021217096 21355009726 32032514589 42710019452 64065029178 85420038904 128130058356 256260116712 501842728561 1003685457122 1505528185683 2007370914244 3011056371366 4014741828488 6022112742732 12044225485464