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7230678048 = 2532114614951
BaseRepresentation
bin1101011101111101…
…10110010000100000
3200122220210111120200
412232332312100200
5104302023144143
63153254305200
7344116515006
oct65676662040
920586714520
107230678048
113080590490
121499658200
138b3041a29
144c8446a76
152c4bd31d3
hex1aefb6420

7230678048 has 144 divisors (see below), whose sum is σ = 22484734272. Its totient is φ = 2185920000.

The previous prime is 7230678001. The next prime is 7230678053. The reversal of 7230678048 is 8408760327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 7230677994 and 7230678012.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1457973 + ... + 1462923.

It is an arithmetic number, because the mean of its divisors is an integer number (156143988).

Almost surely, 27230678048 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 7230678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242367136).

7230678048 is an abundant number, since it is smaller than the sum of its proper divisors (15254056224).

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

7230678048 is a wasteful number, since it uses less digits than its factorization.

7230678048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7230678048 is about 85033.3937227017. The cubic root of 7230678048 is about 1933.7174137706.

The spelling of 7230678048 in words is "seven billion, two hundred thirty million, six hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 461 528 792 922 1056 1383 1584 1844 2766 3168 3688 4149 4951 5071 5532 7376 8298 9902 10142 11064 14752 14853 15213 16596 19804 20284 22128 29706 30426 33192 39608 40568 44256 44559 45639 54461 59412 60852 66384 79216 81136 89118 91278 108922 118824 121704 132768 158432 162272 163383 178236 182556 217844 237648 243408 326766 356472 365112 435688 475296 486816 490149 653532 712944 730224 871376 980298 1307064 1425888 1460448 1742752 1960596 2282411 2614128 3921192 4564822 5228256 6847233 7842384 9129644 13694466 15684768 18259288 20541699 25106521 27388932 36518576 41083398 50213042 54777864 73037152 75319563 82166796 100426084 109555728 150639126 164333592 200852168 219111456 225958689 301278252 328667184 401704336 451917378 602556504 657334368 803408672 903834756 1205113008 1807669512 2410226016 3615339024 7230678048