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97385753088 = 293513193169
BaseRepresentation
bin101101010110010100…
…1001010101000000000
3100022100222110211200000
41122230221022220000
53043421223044323
6112423254400000
710015211146251
oct1325451125000
9308328424600
1097385753088
113833479a768
1216a5a360000
13925001bb90
1449dbb90b28
1527ee992e43
hex16aca4aa00

97385753088 has 480 divisors, whose sum is σ = 330517387200. Its totient is φ = 28378791936.

The previous prime is 97385753039. The next prime is 97385753089. The reversal of 97385753088 is 88035758379.

97385753088 is a `hidden beast` number, since 97 + 3 + 8 + 5 + 7 + 530 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (97385753089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30729168 + ... + 30732336.

It is an arithmetic number, because the mean of its divisors is an integer number (688577890).

Almost surely, 297385753088 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 97385753088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165258693600).

97385753088 is an abundant number, since it is smaller than the sum of its proper divisors (233131634112).

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

97385753088 is a wasteful number, since it uses less digits than its factorization.

97385753088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 97385753088 in words is "ninety-seven billion, three hundred eighty-five million, seven hundred fifty-three thousand, eighty-eight".