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33849385216 = 28293451277
BaseRepresentation
bin11111100001100101…
…001010000100000000
310020101000120221011221
4133201211022010000
51023310420311331
623314501444424
72305551012163
oct374145120400
9106330527157
1033849385216
11133a0106129
126688110714
133265a30b2a
1418d1793ada
15d31a4c711
hex7e194a100

33849385216 has 36 divisors (see below), whose sum is σ = 67797299052. Its totient is φ = 16866891776.

The previous prime is 33849385211. The next prime is 33849385247. The reversal of 33849385216 is 61258394833.

It can be written as a sum of positive squares in 2 ways, for example, as 21013401600 + 12835983616 = 144960^2 + 113296^2 .

It is a super-2 number, since 2×338493852162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33849385211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150631 + ... + 300646.

It is an arithmetic number, because the mean of its divisors is an integer number (1883258307).

Almost surely, 233849385216 is an apocalyptic number.

It is an amenable number.

33849385216 is an abundant number, since it is smaller than the sum of its proper divisors (33947913836).

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

33849385216 is an equidigital number, since it uses as much as digits as its factorization.

33849385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451586 (or 451572 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The spelling of 33849385216 in words is "thirty-three billion, eight hundred forty-nine million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 293 586 1172 2344 4688 9376 18752 37504 75008 451277 902554 1805108 3610216 7220432 14440864 28881728 57763456 115526912 132224161 264448322 528896644 1057793288 2115586576 4231173152 8462346304 16924692608 33849385216