Search a number
-
+
11917045746 = 23219731972423
BaseRepresentation
bin10110001100100111…
…11010111111110010
31010202112000122111200
423012103322333302
5143401230430441
65250303352030
7601213134414
oct130623727762
933675018450
1011917045746
115065952941
122386bb2616
13117bc0b878
148109c69b4
1549b3367b6
hex2c64faff2

11917045746 has 96 divisors (see below), whose sum is σ = 27702829440. Its totient is φ = 3691360512.

The previous prime is 11917045739. The next prime is 11917045801. The reversal of 11917045746 is 64754071911.

11917045746 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 70 + 4 + 574 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4917091 + ... + 4919513.

It is an arithmetic number, because the mean of its divisors is an integer number (288571140).

Almost surely, 211917045746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11917045746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851414720).

11917045746 is an abundant number, since it is smaller than the sum of its proper divisors (15785783694).

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

11917045746 is a wasteful number, since it uses less digits than its factorization.

11917045746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11917045746 in words is "eleven billion, nine hundred seventeen million, forty-five thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 146 171 197 219 342 394 438 591 657 1182 1314 1387 1773 2423 2774 3546 3743 4161 4846 7269 7486 8322 11229 12483 14381 14538 21807 22458 24966 28762 33687 43143 43614 46037 67374 86286 92074 129429 138111 176879 258858 273239 276222 353758 414333 477331 530637 546478 819717 828666 954662 1061274 1431993 1591911 1639434 2459151 2863986 3183822 3360701 4295979 4918302 6721402 8591958 9069289 10082103 18138578 20164206 27207867 30246309 34845163 54415734 60492618 69690326 81623601 104535489 163247202 209070978 313606467 627212934 662058097 1324116194 1986174291 3972348582 5958522873 11917045746