Search a number
-
+
1327980864288 = 253131064087231
BaseRepresentation
bin10011010100110001110…
…100111110001100100000
311200221202021021122010010
4103110301310332030200
5133224201100124123
62454022130404520
7164641414046241
oct23246164761440
94627667248103
101327980864288
11472214639721
12195456130740
13982c7075280
14483bb796cc8
152482565b993
hex13531d3e320

1327980864288 has 48 divisors (see below), whose sum is σ = 3754099754496. Its totient is φ = 408609496320.

The previous prime is 1327980864251. The next prime is 1327980864341. The reversal of 1327980864288 is 8824680897231.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532042368 + ... + 532044863.

It is an arithmetic number, because the mean of its divisors is an integer number (78210411552).

Almost surely, 21327980864288 is an apocalyptic number.

It is an amenable number.

1327980864288 is an abundant number, since it is smaller than the sum of its proper divisors (2426118890208).

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

1327980864288 is a wasteful number, since it uses less digits than its factorization.

1327980864288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064087257 (or 1064087249 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 1327980864288 in words is "one trillion, three hundred twenty-seven billion, nine hundred eighty million, eight hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1064087231 2128174462 3192261693 4256348924 6384523386 8512697848 12769046772 13833134003 17025395696 25538093544 27666268006 34050791392 41499402009 51076187088 55332536012 82998804018 102152374176 110665072024 165997608036 221330144048 331995216072 442660288096 663990432144 1327980864288