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97345895472 = 2433726175389
BaseRepresentation
bin101101010101001000…
…1000111110000110000
3100022021012110212022000
41122222101013300300
53043331022123342
6112415312214000
710014215313300
oct1325221076060
9308235425260
1097345895472
1138314247091
1216a48b3a300
1392449a50a7
1449d6777600
1527eb21d44c
hex16aa447c30

97345895472 has 240 divisors, whose sum is σ = 330371042400. Its totient is φ = 27356797440.

The previous prime is 97345895461. The next prime is 97345895489. The reversal of 97345895472 is 27459854379.

97345895472 is a `hidden beast` number, since 9 + 7 + 3 + 4 + 5 + 89 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253554 + ... + 1328942.

It is an arithmetic number, because the mean of its divisors is an integer number (1376546010).

Almost surely, 297345895472 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 97345895472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165185521200).

97345895472 is an abundant number, since it is smaller than the sum of its proper divisors (233025146928).

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

97345895472 is a wasteful number, since it uses less digits than its factorization.

97345895472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75481 (or 75462 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 97345895472 in words is "ninety-seven billion, three hundred forty-five million, eight hundred ninety-five thousand, four hundred seventy-two".