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42828729328 = 2471134763579
BaseRepresentation
bin100111111000110010…
…101000101111110000
311002112210210212122101
4213320302220233300
51200203123314303
631401504150144
73044223123040
oct477062505760
9132483725571
1042828729328
1117188779280
128373308354
13406712b2b8
14210414d720
1511a9ee8d1d
hex9f8ca8bf0

42828729328 has 40 divisors (see below), whose sum is σ = 103456414080. Its totient is φ = 16686517440.

The previous prime is 42828729299. The next prime is 42828729329. The reversal of 42828729328 is 82392782824.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42828729329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17380558 + ... + 17383021.

It is an arithmetic number, because the mean of its divisors is an integer number (2586410352).

Almost surely, 242828729328 is an apocalyptic number.

It is an amenable number.

42828729328 is an abundant number, since it is smaller than the sum of its proper divisors (60627684752).

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

42828729328 is a wasteful number, since it uses less digits than its factorization.

42828729328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34763605 (or 34763599 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 55.

The spelling of 42828729328 in words is "forty-two billion, eight hundred twenty-eight million, seven hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 34763579 69527158 139054316 243345053 278108632 382399369 486690106 556217264 764798738 973380212 1529597476 1946760424 2676795583 3059194952 3893520848 5353591166 6118389904 10707182332 21414364664 42828729328