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12081866376448 = 281117252378559
BaseRepresentation
bin1010111111010000011101…
…0110101000010100000000
31120210000102001002220222001
42233310013112220110000
53040422130243021243
641410155514353344
72354612624513611
oct257640726502400
946700361086861
1012081866376448
113938988661160
12143166872b854
136984133b4b5b
142daaa058bc08
1515e4251a9a4d
hexafd075a8500

12081866376448 has 72 divisors (see below), whose sum is σ = 27856535938560. Its totient is φ = 5168712867840.

The previous prime is 12081866376443. The next prime is 12081866376487. The reversal of 12081866376448 is 84467366818021.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 12081866376448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12081866376443) 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 7 ways as a sum of consecutive naturals, for example, 126141408 + ... + 126237151.

It is an arithmetic number, because the mean of its divisors is an integer number (386896332480).

Almost surely, 212081866376448 is an apocalyptic number.

It is an amenable number.

12081866376448 is an abundant number, since it is smaller than the sum of its proper divisors (15774669562112).

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

12081866376448 is a wasteful number, since it uses less digits than its factorization.

12081866376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252378603 (or 252378589 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 12081866376448 in words is "twelve trillion, eighty-one billion, eight hundred sixty-six million, three hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 5984 11968 23936 47872 252378559 504757118 1009514236 2019028472 2776164149 4038056944 4290435503 5552328298 8076113888 8580871006 11104656596 16152227776 17161742012 22209313192 32304455552 34323484024 44418626384 47194790533 64608911104 68646968048 88837252768 94389581066 137293936096 177674505536 188779162132 274587872192 355349011072 377558324264 549175744384 710698022144 755116648528 1098351488768 1510233297056 3020466594112 6040933188224 12081866376448