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34225551327 = 3112345092953
BaseRepresentation
bin11111111000000000…
…000111011111011111
310021100020102011002010
4133320000013133133
51030043220120302
623420100202303
72321066246322
oct377000073737
9107306364063
1034225551327
1113573482310
126772099393
1332c5948c26
1419297127b9
15d54aa416c
hex7f80077df

34225551327 has 16 divisors (see below), whose sum is σ = 51947083008. Its totient is φ = 19840898880.

The previous prime is 34225551313. The next prime is 34225551329. The reversal of 34225551327 is 72315552243.

It is not a de Polignac number, because 34225551327 - 220 = 34224502751 is a prime.

It is a super-3 number, since 3×342255513273 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225551329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22545718 + ... + 22547235.

It is an arithmetic number, because the mean of its divisors is an integer number (3246692688).

Almost surely, 234225551327 is an apocalyptic number.

34225551327 is a deficient number, since it is larger than the sum of its proper divisors (17721531681).

34225551327 is a wasteful number, since it uses less digits than its factorization.

34225551327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45092990.

The product of its digits is 252000, while the sum is 39.

The spelling of 34225551327 in words is "thirty-four billion, two hundred twenty-five million, five hundred fifty-one thousand, three hundred twenty-seven".

Divisors: 1 3 11 23 33 69 253 759 45092953 135278859 496022483 1037137919 1488067449 3111413757 11408517109 34225551327