Search a number
-
+
643505626336 = 25291447479221
BaseRepresentation
bin10010101110100111110…
…11001001110011100000
32021112000000100212021011
421113103323021303200
541020344420020321
61211342234510304
764330445400526
oct11272373116340
92245000325234
10643505626336
11228a00171591
12a4870895394
13488b4099281
1423208276316
1511b144c3ae1
hex95d3ec9ce0

643505626336 has 48 divisors (see below), whose sum is σ = 1311496431840. Its totient is φ = 310442549760.

The previous prime is 643505626333. The next prime is 643505626349. The reversal of 643505626336 is 633626505346.

It is a super-2 number, since 2×6435056263362 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 643505626336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643505626333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1103206 + ... + 1582426.

It is an arithmetic number, because the mean of its divisors is an integer number (27322842330).

Almost surely, 2643505626336 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 643505626336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655748215920).

643505626336 is an abundant number, since it is smaller than the sum of its proper divisors (667990805504).

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

643505626336 is a wasteful number, since it uses less digits than its factorization.

643505626336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480707 (or 480699 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 49.

The spelling of 643505626336 in words is "six hundred forty-three billion, five hundred five million, six hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1447 2894 5788 11576 23152 41963 46304 83926 167852 335704 479221 671408 958442 1342816 1916884 3833768 7667536 13897409 15335072 27794818 55589636 111179272 222358544 444717088 693432787 1386865574 2773731148 5547462296 11094924592 20109550823 22189849184 40219101646 80438203292 160876406584 321752813168 643505626336