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351288470055 = 35192202931973
BaseRepresentation
bin1010001110010100110…
…11001010101000100111
31020120201220020021000010
411013022123022220213
521223414322020210
6425214003021303
734244153504505
oct5071233125047
91216656207003
10351288470055
11125a87201a36
12580b996a833
13271847ca543
1413006a31675
159210217920
hex51ca6caa27

351288470055 has 48 divisors (see below), whose sum is σ = 593511619680. Its totient is φ = 177400094976.

The previous prime is 351288469921. The next prime is 351288470069. The reversal of 351288470055 is 550074882153.

It is not a de Polignac number, because 351288470055 - 212 = 351288465959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 351288469986 and 351288470013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10971049 + ... + 11003021.

It is an arithmetic number, because the mean of its divisors is an integer number (12364825410).

Almost surely, 2351288470055 is an apocalyptic number.

351288470055 is a deficient number, since it is larger than the sum of its proper divisors (242223149625).

351288470055 is a wasteful number, since it uses less digits than its factorization.

351288470055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34048 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 351288470055 in words is "three hundred fifty-one billion, two hundred eighty-eight million, four hundred seventy thousand, fifty-five".

Divisors: 1 3 5 15 19 57 95 285 361 1083 1805 2029 5415 6087 10145 30435 31973 38551 95919 115653 159865 192755 479595 578265 607487 732469 1822461 2197407 3037435 3662345 9112305 10987035 11542253 34626759 57711265 64873217 173133795 194619651 324366085 973098255 1232591123 3697773369 6162955615 18488866845 23419231337 70257694011 117096156685 351288470055