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85941407201 = 1333161199357
BaseRepresentation
bin101000000001010000…
…0011100110111100001
322012211101220211110112
41100002200130313201
52402002000012301
6103251514341105
76131464623326
oct1200240346741
9265741824415
1085941407201
11334a1758271
12147a572a795
138148027290
144233c94b4d
15237edd09bb
hex140281cde1

85941407201 has 8 divisors (see below), whose sum is σ = 92555539944. Its totient is φ = 79327739520.

The previous prime is 85941407191. The next prime is 85941407281. The reversal of 85941407201 is 10270414958.

It can be written as a sum of positive squares in 4 ways, for example, as 46429906576 + 39511500625 = 215476^2 + 198775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85941407201 - 222 = 85937212897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85941407281) 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, 331415 + ... + 530771.

It is an arithmetic number, because the mean of its divisors is an integer number (11569442493).

Almost surely, 285941407201 is an apocalyptic number.

It is an amenable number.

85941407201 is a deficient number, since it is larger than the sum of its proper divisors (6614132743).

85941407201 is a wasteful number, since it uses less digits than its factorization.

85941407201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232531.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 85941407201 in words is "eighty-five billion, nine hundred forty-one million, four hundred seven thousand, two hundred one".

Divisors: 1 13 33161 199357 431093 2591641 6610877477 85941407201