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12327232175664 = 2437197925795107
BaseRepresentation
bin1011001101100010100001…
…0010110111111000110000
31121122110202000010222201020
42303120220102313320300
53103432132414110124
642115015143135440
72411420206425120
oct263305022677060
947573660128636
1012327232175664
113a22a4a2137aa
121471125144580
136b55b73406b3
143088d971cc80
151659d6227379
hexb36284b7e30

12327232175664 has 320 divisors, whose sum is σ = 38946497740800. Its totient is φ = 3281604378624.

The previous prime is 12327232175653. The next prime is 12327232175693. The reversal of 12327232175664 is 46657123272321.

It is a super-2 number, since 2×123272321756642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129566799 + ... + 129661905.

It is an arithmetic number, because the mean of its divisors is an integer number (121707805440).

Almost surely, 212327232175664 is an apocalyptic number.

12327232175664 is a gapful number since it is divisible by the number (14) 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 12327232175664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473248870400).

12327232175664 is an abundant number, since it is smaller than the sum of its proper divisors (26619265565136).

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

12327232175664 is a wasteful number, since it uses less digits than its factorization.

12327232175664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95480 (or 95474 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The spelling of 12327232175664 in words is "twelve trillion, three hundred twenty-seven billion, two hundred thirty-two million, one hundred seventy-five thousand, six hundred sixty-four".