Search a number
-
+
6401790936 = 233459916493
BaseRepresentation
bin1011111011001001…
…11001001111011000
3121112011002200020000
411331210321033120
5101102324302221
62535124333000
7314433216342
oct57544711730
917464080200
106401790936
11279570a312
1212a7b44160
137b03b6598
1444a31c292
15277051e26
hex17d9393d8

6401790936 has 80 divisors (see below), whose sum is σ = 17961966000. Its totient is φ = 2130238656.

The previous prime is 6401790917. The next prime is 6401790971. The reversal of 6401790936 is 6390971046.

It is a junction number, because it is equal to n+sod(n) for n = 6401790891 and 6401790900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379906 + ... + 396398.

It is an arithmetic number, because the mean of its divisors is an integer number (224524575).

Almost surely, 26401790936 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 6401790936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980983000).

6401790936 is an abundant number, since it is smaller than the sum of its proper divisors (11560175064).

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

6401790936 is a wasteful number, since it uses less digits than its factorization.

6401790936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17110 (or 17097 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 6401790936 is about 80011.1925670403. The cubic root of 6401790936 is about 1856.8087003880.

The spelling of 6401790936 in words is "six billion, four hundred one million, seven hundred ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 599 648 1198 1797 2396 3594 4792 5391 7188 10782 14376 16173 16493 21564 32346 32986 43128 48519 49479 64692 65972 97038 98958 129384 131944 148437 194076 197916 296874 388152 395832 445311 593748 890622 1187496 1335933 1781244 2671866 3562488 5343732 9879307 10687464 19758614 29637921 39517228 59275842 79034456 88913763 118551684 177827526 237103368 266741289 355655052 533482578 711310104 800223867 1066965156 1600447734 2133930312 3200895468 6401790936