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797457012198912 = 293713312716521
BaseRepresentation
bin1011010101010010000110110…
…1111011111000111000000000
310212120120010221022100010000000
42311110201231323320320000
51314011013430110331122
611504014405520000000
7326654240112122142
oct26524415573707000
93776503838303000
10797457012198912
1121110468a7a787a
1275534617a60000
13282c7b48331290
14100cd1a7ca2c92
15622da486d00ac
hex2d5486def8e00

797457012198912 has 1280 divisors, whose sum is σ = 2666718599086080. Its totient is φ = 236543680512000.

The previous prime is 797457012198887. The next prime is 797457012198937. The reversal of 797457012198912 is 219891210754797.

797457012198912 is a `hidden beast` number, since 7 + 97 + 457 + 0 + 1 + 2 + 1 + 9 + 89 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (797457012198887) and next prime (797457012198937).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 122290598212 + ... + 122290604732.

It is an arithmetic number, because the mean of its divisors is an integer number (2083373905536).

Almost surely, 2797457012198912 is an apocalyptic number.

797457012198912 is a gapful number since it is divisible by the number (72) 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 797457012198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333359299543040).

797457012198912 is an abundant number, since it is smaller than the sum of its proper divisors (1869261586887168).

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

797457012198912 is an equidigital number, since it uses as much as digits as its factorization.

797457012198912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 72.

The spelling of 797457012198912 in words is "seven hundred ninety-seven trillion, four hundred fifty-seven billion, twelve million, one hundred ninety-eight thousand, nine hundred twelve".