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97995329280 = 28365105019
BaseRepresentation
bin101101101000011111…
…0100000111100000000
3100100221110111112000000
41123100332200330000
53101143301014110
6113003552000000
710036262361312
oct1332076407400
9310843445000
1097995329280
1138617899342
1216baa530000
1393193bb454
144a58b0b7b2
1528382531c0
hex16d0fa0f00

97995329280 has 252 divisors, whose sum is σ = 351936512760. Its totient is φ = 26131838976.

The previous prime is 97995329273. The next prime is 97995329287. The reversal of 97995329280 is 8292359979.

97995329280 is a `hidden beast` number, since 9 + 7 + 9 + 9 + 532 + 92 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97995329273) and next prime (97995329287).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97995329287) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 880611 + ... + 985629.

Almost surely, 297995329280 is an apocalyptic number.

97995329280 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 97995329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175968256380).

97995329280 is an abundant number, since it is smaller than the sum of its proper divisors (253941183480).

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

97995329280 is an equidigital number, since it uses as much as digits as its factorization.

97995329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105058 (or 105029 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 97995329280 in words is "ninety-seven billion, nine hundred ninety-five million, three hundred twenty-nine thousand, two hundred eighty".