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85375304235 = 33513219375323
BaseRepresentation
bin100111110000011000…
…0111100001000101011
322011100221200211012000
41033200300330020223
52344322034213420
6103115413022043
76111452053344
oct1174060741053
9264327624160
1085375304235
1133231151781
1214668024923
138087969400
1441bca130cb
15234a35b690
hex13e0c3c22b

85375304235 has 192 divisors, whose sum is σ = 177710860800. Its totient is φ = 38735304192.

The previous prime is 85375304167. The next prime is 85375304239. The reversal of 85375304235 is 53240357358.

85375304235 is a `hidden beast` number, since 85 + 3 + 7 + 530 + 4 + 2 + 35 = 666.

It is not a de Polignac number, because 85375304235 - 212 = 85375300139 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (85375304239) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 16036284 + ... + 16041606.

It is an arithmetic number, because the mean of its divisors is an integer number (925577400).

Almost surely, 285375304235 is an apocalyptic number.

85375304235 is an abundant number, since it is smaller than the sum of its proper divisors (92335556565).

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

85375304235 is a wasteful number, since it uses less digits than its factorization.

85375304235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 85375304235 in words is "eighty-five billion, three hundred seventy-five million, three hundred four thousand, two hundred thirty-five".