Search a number
-
+
468446826609711 = 322344910639473743
BaseRepresentation
bin110101010000011001100011…
…0101100100011110000101111
32021102122002010210010122111100
41222200303012230203300233
5442400013100103002321
64340145300134254143
7200446111026412335
oct15240630654436057
92242562123118440
10468446826609711
11126297202268284
12446581724b7353
13171504667b86c1
148396d39893b55
15392559c4e1326
hex1aa0cc6b23c2f

468446826609711 has 48 divisors (see below), whose sum is σ = 707705316864000. Its totient is φ = 298025771129856.

The previous prime is 468446826609709. The next prime is 468446826609763. The reversal of 468446826609711 is 117906628644864.

468446826609711 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 4 + 6 + 8 + 2 + 6 + 609 + 7 + 1 + 1 = 666.

It is not a de Polignac number, because 468446826609711 - 21 = 468446826609709 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 468446826609711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468446826609511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988583706 + ... + 989057448.

It is an arithmetic number, because the mean of its divisors is an integer number (14743860768000).

Almost surely, 2468446826609711 is an apocalyptic number.

468446826609711 is a deficient number, since it is larger than the sum of its proper divisors (239258490254289).

468446826609711 is a wasteful number, since it uses less digits than its factorization.

468446826609711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484860 (or 484857 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 468446826609711 in words is "four hundred sixty-eight trillion, four hundred forty-six billion, eight hundred twenty-six million, six hundred nine thousand, seven hundred eleven".

Divisors: 1 3 9 23 69 207 449 1347 4041 10327 10639 30981 31917 92943 95751 244697 473743 734091 1421229 2202273 4263687 4776911 10896089 14330733 32688267 42992199 98064801 109868953 212710607 329606859 638131821 988820577 1914395463 4892343961 5040151777 14677031883 15120455331 44031095649 45361365993 115923490871 347770472613 1043311417839 2263028147873 6789084443619 20367253330857 52049647401079 156148942203237 468446826609711