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97889151360 = 27357111331253
BaseRepresentation
bin101101100101010100…
…1011110100110000000
3100100200001201010021110
41123022221132212000
53100434110320420
6112545240123320
710033533025560
oct1331251364600
9310601633243
1097889151360
11385729682a0
1216b7aa66540
1393003c3990
144a4898cda0
15282dc7cee0
hex16caa5e980

97889151360 has 1536 divisors, whose sum is σ = 441055964160. Its totient is φ = 17827430400.

The previous prime is 97889151331. The next prime is 97889151463. The reversal of 97889151360 is 6315198879.

It is a self number, because there is not a number n which added to its sum of digits gives 97889151360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1846965094 + ... + 1846965146.

It is an arithmetic number, because the mean of its divisors is an integer number (287145810).

Almost surely, 297889151360 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 97889151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220527982080).

97889151360 is an abundant number, since it is smaller than the sum of its proper divisors (343166812800).

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

97889151360 is a wasteful number, since it uses less digits than its factorization.

97889151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 97889151360 in words is "ninety-seven billion, eight hundred eighty-nine million, one hundred fifty-one thousand, three hundred sixty".