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97115354160 = 243511312101379
BaseRepresentation
bin101101001110010000…
…1101011010000110000
3100021200010200011001220
41122130201223100300
53042343012313120
6112340355025040
710005415614216
oct1323441532060
9307603604056
1097115354160
11382060a3a80
12169a389b180
139208cb6606
1449b3cc4cb6
1527d5d7eb40
hex169c86b430

97115354160 has 480 divisors, whose sum is σ = 343626935040. Its totient is φ = 22498560000.

The previous prime is 97115354159. The next prime is 97115354179. The reversal of 97115354160 is 6145351179.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256240851 + ... + 256241229.

It is an arithmetic number, because the mean of its divisors is an integer number (715889448).

Almost surely, 297115354160 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 97115354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171813467520).

97115354160 is an abundant number, since it is smaller than the sum of its proper divisors (246511580880).

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

97115354160 is a wasteful number, since it uses less digits than its factorization.

97115354160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 97115354160 in words is "ninety-seven billion, one hundred fifteen million, three hundred fifty-four thousand, one hundred sixty".