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197800608096 = 253972131729
BaseRepresentation
bin1011100000110111010…
…1011100000101100000
3200220120001202000000000
42320031311130011200
511220043423424341
6230511321300000
720201453266500
oct2701565340540
9626501660000
10197800608096
1176983317543
1232403034600
1315863771550
149805d61a00
15522a3278b6
hex2e0dd5c160

197800608096 has 1440 divisors, whose sum is σ = 801516371040. Its totient is φ = 47405481984.

The previous prime is 197800608037. The next prime is 197800608133. The reversal of 197800608096 is 690806008791.

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

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 6820710610 + ... + 6820710638.

It is an arithmetic number, because the mean of its divisors is an integer number (556608591).

Almost surely, 2197800608096 is an apocalyptic number.

197800608096 is a gapful number since it is divisible by the number (16) 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 197800608096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400758185520).

197800608096 is an abundant number, since it is smaller than the sum of its proper divisors (603715762944).

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

197800608096 is an equidigital number, since it uses as much as digits as its factorization.

197800608096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 197800608096 in words is "one hundred ninety-seven billion, eight hundred million, six hundred eight thousand, ninety-six".