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12023332502144 = 27474391455149
BaseRepresentation
bin1010111011110110011001…
…1101100111101010000000
31120120102022201022000120112
42232331212131213222000
53033442241110032034
641323235342330452
72350441250011055
oct256754635475200
946512281260515
1012023332502144
113916080828027
121422251889a28
13692a45619682
142d7d0a70102c
1515cb4b50e7ce
hexaef66767a80

12023332502144 has 64 divisors (see below), whose sum is σ = 24467990112000. Its totient is φ = 5882405575680.

The previous prime is 12023332502099. The next prime is 12023332502149. The reversal of 12023332502144 is 44120523332021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×120233325021442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12023332502144.

It is not an unprimeable number, because it can be changed into a prime (12023332502149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26188682 + ... + 26643830.

It is an arithmetic number, because the mean of its divisors is an integer number (382312345500).

Almost surely, 212023332502144 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 12023332502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233995056000).

12023332502144 is an abundant number, since it is smaller than the sum of its proper divisors (12444657609856).

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

12023332502144 is an equidigital number, since it uses as much as digits as its factorization.

12023332502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459601 (or 459589 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 12023332502144 its reverse (44120523332021), we get a palindrome (56143855834165).

The spelling of 12023332502144 in words is "twelve trillion, twenty-three billion, three hundred thirty-two million, five hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 4391 6016 8782 17564 35128 70256 140512 206377 281024 412754 455149 562048 825508 910298 1651016 1820596 3302032 3641192 6604064 7282384 13208128 14564768 21392003 26416256 29129536 42784006 58259072 85568012 171136024 342272048 684544096 1369088192 1998559259 2738176384 3997118518 7994237036 15988474072 31976948144 63953896288 93932285173 127907792576 187864570346 255815585152 375729140692 751458281384 1502916562768 3005833125536 6011666251072 12023332502144