Search a number
-
+
642463532634 = 237211433458797
BaseRepresentation
bin10010101100101011100…
…11111000011001011010
32021102022101111000110010
421112111303320121122
541011231131021014
61211051011102350
764262562631500
oct11262563703132
92242271430403
10642463532634
11228515a08120
12a461b8a19b6
1348779211591
1423149acc670
1511aa2c7a359
hex9595cf865a

642463532634 has 96 divisors (see below), whose sum is σ = 1634363269056. Its totient is φ = 166487892480.

The previous prime is 642463532611. The next prime is 642463532663. The reversal of 642463532634 is 436235364246.

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, 1170924 + ... + 1629720.

It is an arithmetic number, because the mean of its divisors is an integer number (17024617386).

Almost surely, 2642463532634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642463532634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817181634528).

642463532634 is an abundant number, since it is smaller than the sum of its proper divisors (991899736422).

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

642463532634 is a wasteful number, since it uses less digits than its factorization.

642463532634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459260 (or 459253 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 48.

The spelling of 642463532634 in words is "six hundred forty-two billion, four hundred sixty-three million, five hundred thirty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 433 462 539 866 1078 1299 1617 2598 3031 3234 4763 6062 9093 9526 14289 18186 21217 28578 33341 42434 63651 66682 100023 127302 200046 233387 458797 466774 700161 917594 1376391 1400322 2752782 3211579 5046767 6423158 9634737 10093534 15140301 19269474 22481053 30280602 35327369 44962106 67443159 70654738 105982107 134886318 198659101 211964214 247291583 397318202 494583166 595977303 741874749 1191954606 1390613707 1483749498 2185250111 2781227414 4171841121 4370500222 6555750333 8343682242 9734295949 13111500666 15296750777 19468591898 29202887847 30593501554 45890252331 58405775694 91780504662 107077255439 214154510878 321231766317 642463532634