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5397897832704 = 2838132331061
BaseRepresentation
bin100111010001100101111…
…0010000110100100000000
3201010000220210002100000000
41032203023302012210000
51201414343321121304
615251432100000000
71064661640351416
oct116431362064400
921100823070000
105397897832704
1117a1265670513
12732195090000
13302034036120
1414938c6972b6
15956297c5939
hex4e8cbc86900

5397897832704 has 648 divisors, whose sum is σ = 17495587949112. Its totient is φ = 1652204666880.

The previous prime is 5397897832687. The next prime is 5397897832721. The reversal of 5397897832704 is 4072387987935.

5397897832704 is a `hidden beast` number, since 5 + 397 + 8 + 97 + 83 + 2 + 70 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5397897832687) and next prime (5397897832721).

It can be written as a sum of positive squares in 4 ways, for example, as 76202498304 + 5321695334400 = 276048^2 + 2306880^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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

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 71 ways as a sum of consecutive naturals, for example, 5087556334 + ... + 5087557394.

It is an arithmetic number, because the mean of its divisors is an integer number (26999364119).

Almost surely, 25397897832704 is an apocalyptic number.

5397897832704 is a gapful number since it is divisible by the number (54) 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 5397897832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747793974556).

5397897832704 is an abundant number, since it is smaller than the sum of its proper divisors (12097690116408).

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

5397897832704 is an equidigital number, since it uses as much as digits as its factorization.

5397897832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 5397897832704 in words is "five trillion, three hundred ninety-seven billion, eight hundred ninety-seven million, eight hundred thirty-two thousand, seven hundred four".