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8140916224 = 2978327367
BaseRepresentation
bin1111001010011110…
…01000011000000000
3210000100120101121201
413211033020120000
5113133033304344
63423452030544
7405511434430
oct74517103000
923010511551
108140916224
1134a8375941
1216b2462454
139c97b14bc
145732aa2c0
15329a834d4
hex1e53c8600

8140916224 has 80 divisors (see below), whose sum is σ = 18814295808. Its totient is φ = 3446802432.

The previous prime is 8140916159. The next prime is 8140916249. The reversal of 8140916224 is 4226190418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283789 + ... + 311155.

Almost surely, 28140916224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407147904).

8140916224 is an abundant number, since it is smaller than the sum of its proper divisors (10673379584).

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

8140916224 is an equidigital number, since it uses as much as digits as its factorization.

8140916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27475 (or 27459 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 8140916224 is about 90227.0260177071. The cubic root of 8140916224 is about 2011.6747363275.

The spelling of 8140916224 in words is "eight billion, one hundred forty million, nine hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 256 332 448 512 581 664 896 1162 1328 1792 2324 2656 3584 4648 5312 9296 10624 18592 21248 27367 37184 42496 54734 74368 109468 148736 191569 218936 297472 383138 437872 766276 875744 1532552 1751488 2271461 3065104 3502976 4542922 6130208 7005952 9085844 12260416 14011904 15900227 18171688 24520832 31800454 36343376 49041664 63600908 72686752 98083328 127201816 145373504 254403632 290747008 508807264 581494016 1017614528 1162988032 2035229056 4070458112 8140916224