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133025334461417 = 1721033344546141
BaseRepresentation
bin11110001111110001011111…
…110011101000001111101001
3122110000002122021112112211202
4132033301133303220033221
5114413441341110231132
61150530554530533545
740006522540266236
oct3617613763501751
9573002567475752
10133025334461417
1139427800381822
1212b0524b4372b5
13592c3099c3c58
1424bc663a2278d
15105a463029762
hex78fc5fce83e9

133025334461417 has 12 divisors (see below), whose sum is σ = 141324328248396. Its totient is φ = 125188195426560.

The previous prime is 133025334461413. The next prime is 133025334461431. The reversal of 133025334461417 is 714164433520331.

It can be written as a sum of positive squares in 6 ways, for example, as 2216453978176 + 130808880483241 = 1488776^2 + 11437171^2 .

It is not a de Polignac number, because 133025334461417 - 22 = 133025334461413 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133025334461413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19286834 + ... + 25259307.

It is an arithmetic number, because the mean of its divisors is an integer number (11777027354033).

Almost surely, 2133025334461417 is an apocalyptic number.

133025334461417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

133025334461417 is a deficient number, since it is larger than the sum of its proper divisors (8298993786979).

133025334461417 is a wasteful number, since it uses less digits than its factorization.

133025334461417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44556508 (or 44556491 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 47.

Adding to 133025334461417 its reverse (714164433520331), we get a palindrome (847189767981748).

The spelling of 133025334461417 in words is "one hundred thirty-three trillion, twenty-five billion, three hundred thirty-four million, four hundred sixty-one thousand, four hundred seventeen".

Divisors: 1 17 289 10333 175661 2986237 44546141 757284397 12873834749 460295274953 7825019674201 133025334461417