Search a number
-
+
209466830672 = 24112631171467
BaseRepresentation
bin1100001100010100110…
…0100010111101010000
3202000200002210111210122
43003011030202331100
511412442002040142
6240121105045412
721063532453301
oct3030514427520
9660602714718
10209466830672
118091a624200
123471a026868
13169a270cb28
14a1d14d67a8
1556ae6161d2
hex30c5322f50

209466830672 has 60 divisors (see below), whose sum is σ = 446800340448. Its totient is φ = 95060750400.

The previous prime is 209466830591. The next prime is 209466830689. The reversal of 209466830672 is 276038664902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135883 + ... + 1307349.

Almost surely, 2209466830672 is an apocalyptic number.

209466830672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209466830672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223400170224).

209466830672 is an abundant number, since it is smaller than the sum of its proper divisors (237333509776).

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

209466830672 is a wasteful number, since it uses less digits than its factorization.

209466830672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172128 (or 172111 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 209466830672 in words is "two hundred nine billion, four hundred sixty-six million, eight hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 631 968 1262 1936 2524 5048 6941 10096 13882 27764 55528 76351 111056 152702 171467 305404 342934 610808 685868 1221616 1371736 1886137 2743472 3772274 7544548 15089096 20747507 30178192 41495014 82990028 108195677 165980056 216391354 331960112 432782708 865565416 1190152447 1731130832 2380304894 4760609788 9521219576 13091676917 19042439152 26183353834 52366707668 104733415336 209466830672