Search a number
-
+
27854927328 = 253672109593
BaseRepresentation
bin11001111100010010…
…000111010111100000
32122220020221220212010
4121330102013113200
5424021330133303
620444003432520
72004161655444
oct317422072740
978806856763
1027854927328
11108a44201a8
125494685740
13281bb55827
1414c35c8824
15ad065bc03
hex67c4875e0

27854927328 has 144 divisors (see below), whose sum is σ = 75034103760. Its totient is φ = 9047199744.

The previous prime is 27854927299. The next prime is 27854927339. The reversal of 27854927328 is 82372945872.

It is a super-2 number, since 2×278549273282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 46972600 + ... + 46973192.

It is an arithmetic number, because the mean of its divisors is an integer number (521070165).

Almost surely, 227854927328 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 27854927328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37517051880).

27854927328 is an abundant number, since it is smaller than the sum of its proper divisors (47179176432).

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

27854927328 is a wasteful number, since it uses less digits than its factorization.

27854927328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 774 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 27854927328 in words is "twenty-seven billion, eight hundred fifty-four million, nine hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 109 134 201 218 268 327 402 436 536 593 654 804 872 1072 1186 1308 1608 1744 1779 2144 2372 2616 3216 3488 3558 4489 4744 5232 6432 7116 7303 8978 9488 10464 13467 14232 14606 17956 18976 21909 26934 28464 29212 35912 39731 43818 53868 56928 58424 64637 71824 79462 87636 107736 116848 119193 129274 143648 158924 175272 193911 215472 233696 238386 258548 317848 350544 387822 430944 476772 489301 517096 635696 701088 775644 953544 978602 1034192 1271392 1467903 1551288 1907088 1957204 2068384 2661977 2935806 3102576 3814176 3914408 4330679 5323954 5871612 6205152 7828816 7985931 8661358 10647908 11743224 12992037 15657632 15971862 17322716 21295816 23486448 25984074 31943724 34645432 42591632 46972896 51968148 63887448 69290864 85183264 103936296 127774896 138581728 207872592 255549792 290155493 415745184 580310986 870466479 1160621972 1740932958 2321243944 3481865916 4642487888 6963731832 9284975776 13927463664 27854927328