Search a number
-
+
190461529116 = 223328122392803
BaseRepresentation
bin1011000101100001100…
…1000100110000011100
3200012121120222011022000
42301120121010300130
511110031122412431
6223255151322300
716521546166665
oct2613031046034
9605546864260
10190461529116
1173857627911
1230ab5220390
1314c64137271
14930b37c36c
154e4ad809e6
hex2c58644c1c

190461529116 has 96 divisors (see below), whose sum is σ = 495944601600. Its totient is φ = 63210430080.

The previous prime is 190461529099. The next prime is 190461529147. The reversal of 190461529116 is 611925164091.

190461529116 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 6 + 1 + 529 + 116 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent 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, 67947771 + ... + 67950573.

It is an arithmetic number, because the mean of its divisors is an integer number (5166089600).

Almost surely, 2190461529116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190461529116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247972300800).

190461529116 is an abundant number, since it is smaller than the sum of its proper divisors (305483072484).

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

190461529116 is a wasteful number, since it uses less digits than its factorization.

190461529116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 190461529116 in words is "one hundred ninety billion, four hundred sixty-one million, five hundred twenty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 562 843 1124 1686 2239 2529 2803 3372 4478 5058 5606 6717 7587 8409 8956 10116 11212 13434 15174 16818 20151 25227 26868 30348 33636 40302 50454 60453 75681 80604 100908 120906 151362 241812 302724 629159 787643 1258318 1575286 1887477 2362929 2516636 3150572 3774954 4725858 5662431 6275917 7088787 7549908 9451716 11324862 12551834 14177574 16987293 18827751 21266361 22649724 25103668 28355148 33974586 37655502 42532722 56483253 67949172 75311004 85065444 112966506 169449759 225933012 338899518 677799036 1763532677 3527065354 5290598031 7054130708 10581196062 15871794093 21162392124 31743588186 47615382279 63487176372 95230764558 190461529116