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97630489728 = 273417683811
BaseRepresentation
bin101101011101100111…
…0110000110010000000
3100100000000222202020000
41122323032300302000
53044421401132403
6112503440120000
710024242320202
oct1327316606200
9310000882200
1097630489728
113844a958a52
1216b08306000
13928b93a965
144a2249a772
1528161d77a3
hex16bb3b0c80

97630489728 has 320 divisors, whose sum is σ = 308468049120. Its totient is φ = 30546616320.

The previous prime is 97630489699. The next prime is 97630489771. The reversal of 97630489728 is 82798403679.

97630489728 is a `hidden beast` number, since 97 + 63 + 0 + 489 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×976304897282 (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 120382443 + ... + 120383253.

Almost surely, 297630489728 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 97630489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154234024560).

97630489728 is an abundant number, since it is smaller than the sum of its proper divisors (210837559392).

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

97630489728 is a wasteful number, since it uses less digits than its factorization.

97630489728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 97630489728 in words is "ninety-seven billion, six hundred thirty million, four hundred eighty-nine thousand, seven hundred twenty-eight".