Search a number
-
+
26894891460 = 22356124130491
BaseRepresentation
bin11001000011000011…
…110111100111000100
32120102100111001020010
4121003003313213010
5420040043011320
620204430510220
71641323543163
oct310303674704
976370431203
1026894891460
1110451513028
125267065370
1326c7c9ba78
141431cc13da
15a76221ae0
hex6430f79c4

26894891460 has 96 divisors (see below), whose sum is σ = 76860330624. Its totient is φ = 7024896000.

The previous prime is 26894891459. The next prime is 26894891477. The reversal of 26894891460 is 6419849862.

It is a self number, because there is not a number n which added to its sum of digits gives 26894891460.

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 31 ways as a sum of consecutive naturals, for example, 866815 + ... + 897305.

It is an arithmetic number, because the mean of its divisors is an integer number (800628444).

Almost surely, 226894891460 is an apocalyptic number.

26894891460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26894891460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38430165312).

26894891460 is an abundant number, since it is smaller than the sum of its proper divisors (49965439164).

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

26894891460 is a wasteful number, since it uses less digits than its factorization.

26894891460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30805 (or 30803 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 26894891460 in words is "twenty-six billion, eight hundred ninety-four million, eight hundred ninety-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 241 244 305 366 482 610 723 732 915 964 1205 1220 1446 1830 2410 2892 3615 3660 4820 7230 14460 14701 29402 30491 44103 58804 60982 73505 88206 91473 121964 147010 152455 176412 182946 220515 294020 304910 365892 441030 457365 609820 882060 914730 1829460 1859951 3719902 5579853 7348331 7439804 9299755 11159706 14696662 18599510 22044993 22319412 27899265 29393324 36741655 37199020 44089986 55798530 73483310 88179972 110224965 111597060 146966620 220449930 440899860 448248191 896496382 1344744573 1792992764 2241240955 2689489146 4482481910 5378978292 6723722865 8964963820 13447445730 26894891460