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97304251296 = 253717193114461
BaseRepresentation
bin101101010011111001…
…0010000101110100000
3100022011022010010020010
41122213302100232200
53043234342020141
6112411223444520
710013201326560
oct1324762205640
9308138103203
1097304251296
11382a279320a
1216a36bb6740
139239184075
1449d1016da0
1527e7744416
hex16a7c90ba0

97304251296 has 384 divisors, whose sum is σ = 335870115840. Its totient is φ = 23987404800.

The previous prime is 97304251271. The next prime is 97304251309. The reversal of 97304251296 is 69215240379.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 6721506 + ... + 6735966.

It is an arithmetic number, because the mean of its divisors is an integer number (874661760).

Almost surely, 297304251296 is an apocalyptic number.

97304251296 is a gapful number since it is divisible by the number (96) 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 97304251296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935057920).

97304251296 is an abundant number, since it is smaller than the sum of its proper divisors (238565864544).

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

97304251296 is a wasteful number, since it uses less digits than its factorization.

97304251296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14548 (or 14540 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 97304251296 in words is "ninety-seven billion, three hundred four million, two hundred fifty-one thousand, two hundred ninety-six".