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33460852321 = 132539336713
BaseRepresentation
bin11111001010011011…
…000001011001100001
310012100221111102020201
4133022123001121201
51022011434233241
623212142105201
72263122360211
oct371233013141
9105327442221
1033460852321
1113210862666
126599b7b201
1332033a5b00
141895d36241
15d0c8a1931
hex7ca6c1661

33460852321 has 12 divisors (see below), whose sum is σ = 36240462828. Its totient is φ = 30880372224.

The previous prime is 33460852319. The next prime is 33460852339. The reversal of 33460852321 is 12325806433.

It can be written as a sum of positive squares in 6 ways, for example, as 278222400 + 33182629921 = 16680^2 + 182161^2 .

It is not a de Polignac number, because 33460852321 - 21 = 33460852319 is a prime.

It is a super-2 number, since 2×334608523212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33460852301) 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 11 ways as a sum of consecutive naturals, for example, 893061 + ... + 929773.

It is an arithmetic number, because the mean of its divisors is an integer number (3020038569).

Almost surely, 233460852321 is an apocalyptic number.

It is an amenable number.

33460852321 is a deficient number, since it is larger than the sum of its proper divisors (2779610507).

33460852321 is a wasteful number, since it uses less digits than its factorization.

33460852321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42132 (or 42119 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 33460852321 in words is "thirty-three billion, four hundred sixty million, eight hundred fifty-two thousand, three hundred twenty-one".

Divisors: 1 13 169 5393 36713 70109 477269 911417 6204497 197993209 2573911717 33460852321