Search a number
-
+
2586468755130 = 2351317390115951
BaseRepresentation
bin100101101000110101100…
…011010010011010111010
3100011021010110021110000220
4211220311203102122322
5314334042000131010
65300112441440510
7354603051446421
oct45506543223272
910137113243026
102586468755130
11907a08201887
123593371a0136
13159b97a482c0
148d2859dc2b8
154742ee5c970
hex25a358d26ba

2586468755130 has 64 divisors (see below), whose sum is σ = 7078263833088. Its totient is φ = 599218099200.

The previous prime is 2586468755081. The next prime is 2586468755153. The reversal of 2586468755130 is 315578646852.

2586468755130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195051346 + ... + 195064605.

It is an arithmetic number, because the mean of its divisors is an integer number (110597872392).

Almost surely, 22586468755130 is an apocalyptic number.

2586468755130 is an abundant number, since it is smaller than the sum of its proper divisors (4491795077958).

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

2586468755130 is a wasteful number, since it uses less digits than its factorization.

2586468755130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390115991.

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 2586468755130 in words is "two trillion, five hundred eighty-six billion, four hundred sixty-eight million, seven hundred fifty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 390115951 780231902 1170347853 1950579755 2340695706 3901159510 5071507363 5851739265 6631971167 10143014726 11703478530 13263942334 15214522089 19895913501 25357536815 30429044178 33159855835 39791827002 50715073630 66319711670 76072610445 86215625171 99479567505 152145220890 172431250342 198959135010 258646875513 431078125855 517293751026 862156251710 1293234377565 2586468755130