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97114585050 = 2325271719313079
BaseRepresentation
bin101101001110001111…
…0101111011111011010
3100021200002020002001100
41122130132233133122
53042342313210200
6112340330332230
710005406232010
oct1323436573732
9307602202040
1097114585050
113820571914a
12169a358a076
139208aa7512
1449b3b648b0
1527d5c7bd00
hex169c7af7da

97114585050 has 576 divisors, whose sum is σ = 343178035200. Its totient is φ = 19147622400.

The previous prime is 97114585021. The next prime is 97114585151. The reversal of 97114585050 is 5058541179.

97114585050 is a `hidden beast` number, since 9 + 7 + 1 + 14 + 585 + 0 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 97114584987 and 97114585005.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31539411 + ... + 31542489.

It is an arithmetic number, because the mean of its divisors is an integer number (595795200).

Almost surely, 297114585050 is an apocalyptic number.

97114585050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97114585050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171589017600).

97114585050 is an abundant number, since it is smaller than the sum of its proper divisors (246063450150).

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

97114585050 is a wasteful number, since it uses less digits than its factorization.

97114585050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 97114585050 in words is "ninety-seven billion, one hundred fourteen million, five hundred eighty-five thousand, fifty".