Search a number
-
+
2566148345520 = 243550212129513
BaseRepresentation
bin100101010101111010010…
…111000100111010110000
3100002022200021211200102120
4211111322113010322300
5314020432434024040
65242512224514240
7353253356016624
oct45257227047260
910068607750376
102566148345520
118aa32a929331
12355405a7b980
13157ca9b77ba6
148c2b8d4d184
1546b410007d0
hex2557a5c4eb0

2566148345520 has 80 divisors (see below), whose sum is σ = 7956647965152. Its totient is φ = 684169615360.

The previous prime is 2566148345513. The next prime is 2566148345549. The reversal of 2566148345520 is 255438416652.

2566148345520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140284 + ... + 2269796.

Almost surely, 22566148345520 is an apocalyptic number.

2566148345520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566148345520 is an abundant number, since it is smaller than the sum of its proper divisors (5390499619632).

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

2566148345520 is a wasteful number, since it uses less digits than its factorization.

2566148345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134550 (or 2134544 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 2566148345520 in words is "two trillion, five hundred sixty-six billion, one hundred forty-eight million, three hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5021 10042 15063 20084 25105 30126 40168 50210 60252 75315 80336 100420 120504 150630 200840 241008 301260 401680 602520 1205040 2129513 4259026 6388539 8518052 10647565 12777078 17036104 21295130 25554156 31942695 34072208 42590260 51108312 63885390 85180520 102216624 127770780 170361040 255541560 511083120 10692284773 21384569546 32076854319 42769139092 53461423865 64153708638 85538278184 106922847730 128307417276 160384271595 171076556368 213845695460 256614834552 320768543190 427691390920 513229669104 641537086380 855382781840 1283074172760 2566148345520