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12654116485920 = 253657131192183
BaseRepresentation
bin1011100000100100010000…
…0111100011101100100000
31122210201111010122111000000
42320021010013203230200
53124311112310022140
642525115412300000
72444141542263660
oct270110407435440
948721433574000
1012654116485920
114039642956228
121504552011600
1370a37cba4aa0
1431a66918a1a0
1516e268c17a30
hexb82441e3b20

12654116485920 has 672 divisors, whose sum is σ = 55166225893632. Its totient is φ = 2669877282816.

The previous prime is 12654116485909. The next prime is 12654116485921. The reversal of 12654116485920 is 2958461145621.

It is a happy number.

12654116485920 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 4 + 1 + 1 + 6 + 48 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12654116485921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10018149 + ... + 11210331.

It is an arithmetic number, because the mean of its divisors is an integer number (82092598056).

Almost surely, 212654116485920 is an apocalyptic number.

12654116485920 is a gapful number since it is divisible by the number (10) 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 12654116485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27583112946816).

12654116485920 is an abundant number, since it is smaller than the sum of its proper divisors (42512109407712).

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

12654116485920 is a wasteful number, since it uses less digits than its factorization.

12654116485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192236 (or 1192213 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12654116485920 in words is "twelve trillion, six hundred fifty-four billion, one hundred sixteen million, four hundred eighty-five thousand, nine hundred twenty".