Search a number
-
+
19683460974 = 2331414754917
BaseRepresentation
bin10010010101001110…
…011100011101101110
31212210202220102100010
4102111032130131232
5310302431222344
613013100514050
71264526441412
oct222516343556
955722812303
1019683460974
118390889621
123993b4b926
131b18c38b38
14d4a248d42
157a30918b9
hex49539c76e

19683460974 has 64 divisors (see below), whose sum is σ = 42514440192. Its totient is φ = 6062726400.

The previous prime is 19683460967. The next prime is 19683461003. The reversal of 19683460974 is 47906438691.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 330964 + ... + 385880.

It is an arithmetic number, because the mean of its divisors is an integer number (664288128).

Almost surely, 219683460974 is an apocalyptic number.

19683460974 is an abundant number, since it is smaller than the sum of its proper divisors (22830979218).

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

19683460974 is a wasteful number, since it uses less digits than its factorization.

19683460974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55041.

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 19683460974 in words is "nineteen billion, six hundred eighty-three million, four hundred sixty thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 31 41 47 62 82 93 94 123 141 186 246 282 1271 1457 1927 2542 2914 3813 3854 4371 5781 7626 8742 11562 54917 59737 109834 119474 164751 179211 329502 358422 1702427 2251597 2581099 3404854 4503194 5107281 5162198 6754791 7743297 10214562 13509582 15486594 69799507 80014069 105825059 139599014 160028138 209398521 211650118 240042207 317475177 418797042 480084414 634950354 3280576829 6561153658 9841730487 19683460974