Search a number
-
+
1968310853572 = 227232592252309
BaseRepresentation
bin11100101001001000011…
…110000001111111000100
320222011112222010102022011
4130221020132001333010
5224222100034303242
64104121324344004
7262130402130040
oct34511036017704
96864488112264
101968310853572
11699835188078
1227957b3a5004
131137c3252c5b
146b3a3d87020
1536300e45d17
hex1ca48781fc4

1968310853572 has 72 divisors (see below), whose sum is σ = 4184972164800. Its totient is φ = 793208822208.

The previous prime is 1968310853563. The next prime is 1968310853591. The reversal of 1968310853572 is 2753580138691.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 252247 + ... + 2000062.

It is an arithmetic number, because the mean of its divisors is an integer number (58124613400).

Almost surely, 21968310853572 is an apocalyptic number.

It is an amenable number.

1968310853572 is an abundant number, since it is smaller than the sum of its proper divisors (2216661311228).

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

1968310853572 is a wasteful number, since it uses less digits than its factorization.

1968310853572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252425 (or 2252400 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 1968310853572 in words is "one trillion, nine hundred sixty-eight billion, three hundred ten million, eight hundred fifty-three thousand, five hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 46 59 92 118 161 236 322 413 529 644 826 1058 1357 1652 2116 2714 3703 5428 7406 9499 14812 18998 31211 37996 62422 124844 218477 436954 873908 2252309 4504618 9009236 15766163 31532326 51803107 63064652 103606214 132886231 207212428 265772462 362621749 531544924 725243498 930203617 1191471461 1450486996 1860407234 2382942922 3056383313 3720814468 4765885844 6112766626 8340300227 12225533252 16680600454 21394683191 33361200908 42789366382 70296816199 85578732764 140593632398 281187264796 492077713393 984155426786 1968310853572