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97333834320 = 243252353110899
BaseRepresentation
bin101101010100110001…
…1000111001001010000
3100022020100210002111200
41122221203013021100
53043314430144240
6112414201511200
710014010640502
oct1325143071120
9308210702450
1097333834320
1138308459398
1216a44aa2500
139242341308
1449d4d17d72
1527ea139930
hex16a98c7250

97333834320 has 240 divisors, whose sum is σ = 347530435200. Its totient is φ = 24358523904.

The previous prime is 97333834307. The next prime is 97333834331. The reversal of 97333834320 is 2343833379.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 822231 + ... + 933129.

It is an arithmetic number, because the mean of its divisors is an integer number (1448043480).

Almost surely, 297333834320 is an apocalyptic number.

97333834320 is a gapful number since it is divisible by the number (90) 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 97333834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173765217600).

97333834320 is an abundant number, since it is smaller than the sum of its proper divisors (250196600880).

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

97333834320 is a wasteful number, since it uses less digits than its factorization.

97333834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110994 (or 110985 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 97333834320 in words is "ninety-seven billion, three hundred thirty-three million, eight hundred thirty-four thousand, three hundred twenty".