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7400080008 = 23321718773221
BaseRepresentation
bin1101110010001010…
…00100001010001000
3201002201120000101100
412321011010022020
5110123410030013
63222145221400
7351244433166
oct67105041210
921081500340
107400080008
113158174702
121526331860
1390c174a89
14502b42236
152d49e6473
hex1b9144288

7400080008 has 96 divisors (see below), whose sum is σ = 21238715160. Its totient is φ = 2319636480.

The previous prime is 7400080001. The next prime is 7400080033. The reversal of 7400080008 is 8000800047.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7389465444 + 10614564 = 85962^2 + 3258^2 .

It is a super-2 number, since 2×74000800082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7400080001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2295838 + ... + 2299058.

Almost surely, 27400080008 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 7400080008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10619357580).

7400080008 is an abundant number, since it is smaller than the sum of its proper divisors (13838635152).

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

7400080008 is a wasteful number, since it uses less digits than its factorization.

7400080008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7400080008 is about 86023.7177062233. The cubic root of 7400080008 is about 1948.7021833765.

The spelling of 7400080008 in words is "seven billion, four hundred million, eighty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1877 3221 3754 5631 6442 7508 9663 11262 12884 15016 16893 19326 22524 25768 28989 31909 33786 38652 45048 54757 57978 63818 67572 77304 95727 109514 115956 127636 135144 164271 191454 219028 231912 255272 287181 328542 382908 438056 492813 574362 657084 765816 985626 1148724 1314168 1971252 2297448 3942504 6045817 12091634 18137451 24183268 36274902 48366536 54412353 72549804 102778889 108824706 145099608 205557778 217649412 308336667 411115556 435298824 616673334 822231112 925010001 1233346668 1850020002 2466693336 3700040004 7400080008