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12867318740052 = 223271719971629721
BaseRepresentation
bin1011101100111110011111…
…1101100111010001010100
31200120002210120022011110200
42323033213331213101110
53141304232044140202
643211055320420500
72465430103451550
oct273174775472124
950502716264420
1012867318740052
114110aa9a84357
121539933017730
137244c945bc4a
14326ad2804860
15174a96240e1c
hexbb3e7f67454

12867318740052 has 288 divisors, whose sum is σ = 41857519092480. Its totient is φ = 3244211896320.

The previous prime is 12867318740047. The next prime is 12867318740173. The reversal of 12867318740052 is 25004781376821.

12867318740052 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 7 + 3 + 187 + 400 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7080552 + ... + 8710272.

It is an arithmetic number, because the mean of its divisors is an integer number (145338607960).

Almost surely, 212867318740052 is an apocalyptic number.

12867318740052 is a gapful number since it is divisible by the number (12) 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 12867318740052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20928759546240).

12867318740052 is an abundant number, since it is smaller than the sum of its proper divisors (28990200352428).

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

12867318740052 is a wasteful number, since it uses less digits than its factorization.

12867318740052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629871 (or 1629866 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12867318740052 in words is "twelve trillion, eight hundred sixty-seven billion, three hundred eighteen million, seven hundred forty thousand, fifty-two".