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97440000000 = 211357729
BaseRepresentation
bin101101010111111100…
…0000110100000000000
3100022111202112212102220
41122233320012200000
53044024120000000
6112432513211040
710016440222440
oct1325770064000
9308452485386
1097440000000
1138362381222
1216a74560a80
13925b333345
144a05072120
15280460b1a0
hex16afe06800

97440000000 has 768 divisors, whose sum is σ = 383905267200. Its totient is φ = 21504000000.

The previous prime is 97439999999. The next prime is 97440000001. The reversal of 97440000000 is 4479.

It is an interprime number because it is at equal distance from previous prime (97439999999) and next prime (97440000001).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5800 × 4200 × 4000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97440000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3359999986 + ... + 3360000014.

It is an arithmetic number, because the mean of its divisors is an integer number (499876650).

Almost surely, 297440000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191952633600).

97440000000 is an abundant number, since it is smaller than the sum of its proper divisors (286465267200).

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

97440000000 is an frugal number, since it uses more digits than its factorization.

97440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 97440000000 its reverse (4479), we get a palindrome (97440004479).

The spelling of 97440000000 in words is "ninety-seven billion, four hundred forty million", and thus it is an aban number.