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33850913149 is a prime number
BaseRepresentation
bin11111100001101010…
…111111000101111101
310020101010110120010001
4133201222333011331
51023311313210044
623314554314301
72305600004614
oct374152770575
9106333416101
1033850913149
11133a0a5a089
126688728991
133266147431
1418d1a7087b
15d31c502d4
hex7e1abf17d

33850913149 has 2 divisors, whose sum is σ = 33850913150. Its totient is φ = 33850913148.

The previous prime is 33850913081. The next prime is 33850913153. The reversal of 33850913149 is 94131905833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32151000249 + 1699912900 = 179307^2 + 41230^2 .

It is a cyclic number.

It is not a de Polignac number, because 33850913149 - 213 = 33850904957 is a prime.

It is a super-2 number, since 2×338509131492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33850913099 and 33850913108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33850013149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16925456574 + 16925456575.

It is an arithmetic number, because the mean of its divisors is an integer number (16925456575).

Almost surely, 233850913149 is an apocalyptic number.

It is an amenable number.

33850913149 is a deficient number, since it is larger than the sum of its proper divisors (1).

33850913149 is an equidigital number, since it uses as much as digits as its factorization.

33850913149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 33850913149 in words is "thirty-three billion, eight hundred fifty million, nine hundred thirteen thousand, one hundred forty-nine".