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428968293255 = 3451762304763
BaseRepresentation
bin1100011111000001000…
…00001011001110000111
31112000020112112010210000
412033200200023032013
524012011340341010
6525022035132343
742664143221325
oct6174040131607
91460215463700
10428968293255
11155a19466927
126b1787440b3
13315b4044478
1416a955a8d15
15b259b7b7c0
hex63e080b387

428968293255 has 40 divisors (see below), whose sum is σ = 814198655952. Its totient is φ = 215325257472.

The previous prime is 428968293251. The next prime is 428968293263. The reversal of 428968293255 is 552392869824.

428968293255 is a `hidden beast` number, since 4 + 2 + 8 + 96 + 8 + 293 + 255 = 666.

It is not a de Polignac number, because 428968293255 - 22 = 428968293251 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428968293192 and 428968293201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428968293251) 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 39 ways as a sum of consecutive naturals, for example, 31145497 + ... + 31159266.

Almost surely, 2428968293255 is an apocalyptic number.

428968293255 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428968293255 is a deficient number, since it is larger than the sum of its proper divisors (385230362697).

428968293255 is a wasteful number, since it uses less digits than its factorization.

428968293255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62304797 (or 62304788 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 428968293255 in words is "four hundred twenty-eight billion, nine hundred sixty-eight million, two hundred ninety-three thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 62304763 186914289 311523815 560742867 934571445 1059180971 1682228601 2803714335 3177542913 5046685803 5295904855 8411143005 9532628739 15887714565 25233429015 28597886217 47663143695 85793658651 142989431085 428968293255