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12663518942970 = 23357161319792099
BaseRepresentation
bin1011100001000111010010…
…0011000101011011111010
31122211121202102000210022000
42320101310203011123322
53124434341322133340
642533312411441430
72444623542662130
oct270216443053372
948747672023260
1012663518942970
114042628340395
121506336a56276
1370b21ab46b3c
1431acbbc05750
1516e6193e0d30
hexb84748c56fa

12663518942970 has 256 divisors, whose sum is σ = 38655429120000. Its totient is φ = 2889884964096.

The previous prime is 12663518942959. The next prime is 12663518942999. The reversal of 12663518942970 is 7924981536621.

12663518942970 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 3 + 518 + 9 + 42 + 9 + 70 = 666.

12663518942970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126635189429702 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12663518942898 and 12663518942907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6033118981 + ... + 6033121079.

It is an arithmetic number, because the mean of its divisors is an integer number (150997770000).

It is a 1-persistent number, because it is pandigital, but 2⋅12663518942970 = 25327037885940 is not.

Almost surely, 212663518942970 is an apocalyptic number.

12663518942970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12663518942970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327714560000).

12663518942970 is an abundant number, since it is smaller than the sum of its proper divisors (25991910177030).

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

12663518942970 is a wasteful number, since it uses less digits than its factorization.

12663518942970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 12663518942970 in words is "twelve trillion, six hundred sixty-three billion, five hundred eighteen million, nine hundred forty-two thousand, nine hundred seventy".