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491080194 = 2321121911867
BaseRepresentation
bin11101010001010…
…100101000000010
31021020001110101100
4131101110220002
52001204031234
6120421315230
715112053453
oct3521245002
91236043340
10491080194
11232224900
12118565b16
137a9810c7
144931312a
152d1a5399
hex1d454a02

491080194 has 72 divisors (see below), whose sum is σ = 1231186320. Its totient is φ = 140968080.

The previous prime is 491080159. The next prime is 491080211.

491080194 is a `hidden beast` number, since 491 + 0 + 80 + 1 + 94 = 666.

491080194 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35449 + ... + 47315.

It is an arithmetic number, because the mean of its divisors is an integer number (17099810).

Almost surely, 2491080194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491080194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615593160).

491080194 is an abundant number, since it is smaller than the sum of its proper divisors (740106126).

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

491080194 is a wasteful number, since it uses less digits than its factorization.

491080194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 491080194 is about 22160.3292845571. The cubic root of 491080194 is about 788.9524083733.

The spelling of 491080194 in words is "four hundred ninety-one million, eighty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3762 4598 6897 11867 13794 20691 23734 35601 41382 71202 106803 130537 213606 225473 261074 391611 450946 676419 783222 1174833 1352838 1435907 2029257 2349666 2480203 2871814 4058514 4307721 4960406 7440609 8615442 12923163 14881218 22321827 25846326 27282233 44643654 54564466 81846699 163693398 245540097 491080194