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12148800738681 = 315188747302191
BaseRepresentation
bin1011000011001001110011…
…1100111101010101111001
31121000102011210220211102010
42300302130330331111321
53043021220442114211
641501025414200133
72362502415303045
oct260623474752571
947012153824363
1012148800738681
1139643063311a2
121442628953049
136a181c675b59
1430000dd93025
151610415ad4a6
hexb0c9cf3d579

12148800738681 has 16 divisors (see below), whose sum is σ = 16305912854528. Its totient is φ = 8045446122000.

The previous prime is 12148800738677. The next prime is 12148800738721. The reversal of 12148800738681 is 18683700884121.

It is not a de Polignac number, because 12148800738681 - 22 = 12148800738677 is a prime.

It is a super-2 number, since 2×121488007386812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12148800731681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40051296 + ... + 40353486.

It is an arithmetic number, because the mean of its divisors is an integer number (1019119553408).

Almost surely, 212148800738681 is an apocalyptic number.

It is an amenable number.

12148800738681 is a deficient number, since it is larger than the sum of its proper divisors (4157112115847).

12148800738681 is a wasteful number, since it uses less digits than its factorization.

12148800738681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391092.

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 12148800738681 in words is "twelve trillion, one hundred forty-eight billion, eight hundred million, seven hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 3 151 453 88747 266241 302191 906573 13400797 40202391 45630841 136892523 26818544677 80455634031 4049600246227 12148800738681