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97963102080 = 2733523812
BaseRepresentation
bin101101100111100001…
…1100100111110000000
3100100212012212012121000
41123033003210332000
53101112023231310
6113000441132000
710035421425414
oct1331703447600
9310765765530
1097963102080
1138600687598
1216b9b78a000
1393128167bc
144a5471cd44
1528354d94c0
hex16cf0e4f80

97963102080 has 192 divisors, whose sum is σ = 347098431600. Its totient is φ = 26112522240.

The previous prime is 97963102057. The next prime is 97963102129. The reversal of 97963102080 is 8020136979.

97963102080 is a `hidden beast` number, since 9 + 7 + 9 + 631 + 0 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 41142490 + ... + 41144870.

Almost surely, 297963102080 is an apocalyptic number.

97963102080 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 97963102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173549215800).

97963102080 is an abundant number, since it is smaller than the sum of its proper divisors (249135329520).

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

97963102080 is an frugal number, since it uses more digits than its factorization.

97963102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 97963102080 in words is "ninety-seven billion, nine hundred sixty-three million, one hundred two thousand, eighty".