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34827666688 = 28181751633
BaseRepresentation
bin100000011011111001…
…000000010100000000
310022220012101210002001
4200123321000110000
51032311340313223
623555525433344
72342030165563
oct403371002400
9108805353061
1034827666688
1113852345511
1268bb86b854
1333906055c9
14198568a4da
15d8c88d9ad
hex81be40500

34827666688 has 36 divisors (see below), whose sum is σ = 69903465268. Its totient is φ = 17317601280.

The previous prime is 34827666661. The next prime is 34827666701. The reversal of 34827666688 is 88666672843.

It can be written as a sum of positive squares in 2 ways, for example, as 9114902784 + 25712763904 = 95472^2 + 160352^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329481 + ... + 422152.

Almost surely, 234827666688 is an apocalyptic number.

It is an amenable number.

34827666688 is an abundant number, since it is smaller than the sum of its proper divisors (35075798580).

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

34827666688 is an equidigital number, since it uses as much as digits as its factorization.

34827666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751830 (or 751816 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 64.

The spelling of 34827666688 in words is "thirty-four billion, eight hundred twenty-seven million, six hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1448 2896 5792 11584 23168 46336 751633 1503266 3006532 6013064 12026128 24052256 48104512 96209024 136045573 192418048 272091146 544182292 1088364584 2176729168 4353458336 8706916672 17413833344 34827666688