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97380615024 = 243271117516619
BaseRepresentation
bin101101010110001010…
…1100100001101110000
3100022100121210210120100
41122230111210031300
53043413414140044
6112422552312400
710015116366420
oct1325425441560
9308317723510
1097380615024
1138331900430
1216a586a2700
13924bc402c4
1449db214480
1527ee2ca869
hex16ac564370

97380615024 has 240 divisors, whose sum is σ = 359765902080. Its totient is φ = 23805757440.

The previous prime is 97380615019. The next prime is 97380615037. The reversal of 97380615024 is 42051608379.

97380615024 is a `hidden beast` number, since 9 + 7 + 3 + 8 + 0 + 615 + 0 + 24 = 666.

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 47 ways as a sum of consecutive naturals, for example, 69814 + ... + 446805.

It is an arithmetic number, because the mean of its divisors is an integer number (1499024592).

It is a 1-persistent number, because it is pandigital, but 2⋅97380615024 = 194761230048 is not.

Almost surely, 297380615024 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 97380615024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179882951040).

97380615024 is an abundant number, since it is smaller than the sum of its proper divisors (262385287056).

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

97380615024 is a wasteful number, since it uses less digits than its factorization.

97380615024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516668 (or 516659 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 97380615024 in words is "ninety-seven billion, three hundred eighty million, six hundred fifteen thousand, twenty-four".