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97353045504 = 29331141337
BaseRepresentation
bin101101010101010110…
…0011001011000000000
3100022021200221010022000
41122222230121120000
53043334334424004
6112420125344000
710014333143001
oct1325254313000
9308250833260
1097353045504
1138318290000
1216a4b408000
139246309690
1449d76b91a8
1527ebb81c39
hex16aab19600

97353045504 has 800 divisors, whose sum is σ = 350596831200. Its totient is φ = 26495631360.

The previous prime is 97353045479. The next prime is 97353045511. The reversal of 97353045504 is 40554035379.

97353045504 is a `hidden beast` number, since 9 + 73 + 5 + 30 + 45 + 504 = 666.

It is a super-2 number, since 2×973530455042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97353045504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2631163374 + ... + 2631163410.

It is an arithmetic number, because the mean of its divisors is an integer number (438246039).

Almost surely, 297353045504 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 97353045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175298415600).

97353045504 is an abundant number, since it is smaller than the sum of its proper divisors (253243785696).

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

97353045504 is an equidigital number, since it uses as much as digits as its factorization.

97353045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 97353045504 in words is "ninety-seven billion, three hundred fifty-three million, forty-five thousand, five hundred four".