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97986181020 = 2235721323111467
BaseRepresentation
bin101101101000001101…
…1100111011110011100
3100100220211021201221120
41123100123213132130
53101133430243040
6113003023530540
710036121540100
oct1332033473634
9310824251846
1097986181020
11386127100a2
1216ba7459a50
139317537490
144a57809900
1528375477d0
hex16d06e779c

97986181020 has 288 divisors, whose sum is σ = 358652302848. Its totient is φ = 19774960128.

The previous prime is 97986180991. The next prime is 97986181049. The reversal of 97986181020 is 2018168979.

97986181020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (97986180991) and next prime (97986181049).

It is a congruent number.

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, 823327 + ... + 934793.

It is an arithmetic number, because the mean of its divisors is an integer number (1245320496).

Almost surely, 297986181020 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 97986181020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179326151424).

97986181020 is an abundant number, since it is smaller than the sum of its proper divisors (260666121828).

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

97986181020 is a wasteful number, since it uses less digits than its factorization.

97986181020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111529 (or 111520 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 97986181020 in words is "ninety-seven billion, nine hundred eighty-six million, one hundred eighty-one thousand, twenty".