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97048536000 = 2635313734261
BaseRepresentation
bin101101001100010001…
…0110010001111000000
3100021111110221102210020
41122120202302033000
53042223411123000
6112330010533440
710003644642123
oct1323042621700
9307443842706
1097048536000
1138181406559
1216985437280
1391c81c0140
1449a90903ba
1527d0081ba0
hex16988b23c0

97048536000 has 448 divisors, whose sum is σ = 349914155136. Its totient is φ = 23556096000.

The previous prime is 97048535993. The next prime is 97048536007. The reversal of 97048536000 is 63584079.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97048535993) and next prime (97048536007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97048536007) 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, 22773870 + ... + 22778130.

It is an arithmetic number, because the mean of its divisors is an integer number (781058382).

Almost surely, 297048536000 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 97048536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174957077568).

97048536000 is an abundant number, since it is smaller than the sum of its proper divisors (252865619136).

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

97048536000 is a wasteful number, since it uses less digits than its factorization.

97048536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 97048536000 in words is "ninety-seven billion, forty-eight million, five hundred thirty-six thousand".