Search a number
-
+
27320024556 = 2232111730713219
BaseRepresentation
bin11001011100011001…
…100111110111101100
32121111222110001012100
4121130121213313230
5421422411241211
620314534535100
71655005243236
oct313431476754
977458401170
1027320024556
111064a4948a0
125365507490
1327650a0006
141472549256
15a9d6ec156
hex65c667dec

27320024556 has 144 divisors (see below), whose sum is σ = 80034514560. Its totient is φ = 7765839360.

The previous prime is 27320024527. The next prime is 27320024561. The reversal of 27320024556 is 65542002372.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27320024556.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060115 + ... + 2073333.

It is an arithmetic number, because the mean of its divisors is an integer number (555795240).

Almost surely, 227320024556 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 27320024556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40017257280).

27320024556 is an abundant number, since it is smaller than the sum of its proper divisors (52714490004).

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

27320024556 is a wasteful number, since it uses less digits than its factorization.

27320024556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 27320024556 in words is "twenty-seven billion, three hundred twenty million, twenty-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 307 374 396 561 612 614 748 921 1122 1228 1683 1842 2244 2763 3366 3377 3684 5219 5526 6732 6754 10131 10438 11052 13219 13508 15657 20262 20876 26438 30393 31314 39657 40524 46971 52876 57409 60786 62628 79314 93942 114818 118971 121572 145409 158628 172227 187884 224723 229636 237942 290818 344454 436227 449446 475884 516681 581636 674169 688908 872454 898892 1033362 1308681 1348338 1744908 2022507 2066724 2471953 2617362 2696676 4045014 4058233 4943906 5234724 7415859 8090028 8116466 9887812 12174699 14831718 16232932 22247577 24349398 29663436 36524097 44495154 44640563 48698796 68989961 73048194 88990308 89281126 133921689 137979922 146096388 178562252 206969883 267843378 275959844 401765067 413939766 535686756 620909649 758889571 803530134 827879532 1241819298 1517779142 1607060268 2276668713 2483638596 3035558284 4553337426 6830006139 9106674852 13660012278 27320024556