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85006001041 = 13338691853
BaseRepresentation
bin100111100101011000…
…0001010001110010001
322010102012210021102221
41033022300022032101
52343043014013131
6103015021341041
76066346041553
oct1171260121621
9263365707387
1085006001041
1133061742825
1214584407781
1380292b5000
14418595d4d3
152327c0d411
hex13cac0a391

85006001041 has 8 divisors (see below), whose sum is σ = 92086612520. Its totient is φ = 78467075856.

The previous prime is 85006001039. The next prime is 85006001107. The reversal of 85006001041 is 14010060058.

It can be written as a sum of positive squares in 4 ways, for example, as 22892900416 + 62113100625 = 151304^2 + 249225^2 .

It is not a de Polignac number, because 85006001041 - 21 = 85006001039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85006000997 and 85006001015.

It is not an unprimeable number, because it can be changed into a prime (85006001341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19343730 + ... + 19348123.

It is an arithmetic number, because the mean of its divisors is an integer number (11510826565).

Almost surely, 285006001041 is an apocalyptic number.

It is an amenable number.

85006001041 is a deficient number, since it is larger than the sum of its proper divisors (7080611479).

85006001041 is an equidigital number, since it uses as much as digits as its factorization.

85006001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38691892 (or 38691866 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 85006001041 its reverse (14010060058), we get a palindrome (99016061099).

The spelling of 85006001041 in words is "eighty-five billion, six million, one thousand, forty-one".

Divisors: 1 13 169 2197 38691853 502994089 6538923157 85006001041