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12707323050240 = 28325713371971663
BaseRepresentation
bin1011100011101010011101…
…1110011111100100000000
31122222210211012011222221100
42320322213132133210000
53131144044200101430
643005355201454400
72451034211516520
oct270724736374400
948883735158840
1012707323050240
11405a166645535
121512920941400
137123ac071140
1431d0756d3680
1517082ed55960
hexb8ea779f900

12707323050240 has 1728 divisors, whose sum is σ = 55890196217856. Its totient is φ = 2593840693248.

The previous prime is 12707323050223. The next prime is 12707323050269. The reversal of 12707323050240 is 4205032370721.

12707323050240 is a `hidden beast` number, since 1 + 2 + 70 + 73 + 230 + 50 + 240 = 666.

It is a super-2 number, since 2×127073230502402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12707323050195 and 12707323050204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7641203649 + ... + 7641205311.

It is an arithmetic number, because the mean of its divisors is an integer number (32343863552).

Almost surely, 212707323050240 is an apocalyptic number.

12707323050240 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 12707323050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27945098108928).

12707323050240 is an abundant number, since it is smaller than the sum of its proper divisors (43182873167616).

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

12707323050240 is a wasteful number, since it uses less digits than its factorization.

12707323050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 12707323050240 in words is "twelve trillion, seven hundred seven billion, three hundred twenty-three million, fifty thousand, two hundred forty".