Search a number
-
+
642380562108 = 22324115125111483
BaseRepresentation
bin10010101100100001101…
…11010111111010111100
32021102002121100200021200
421112100313113322330
541011043410441413
61211034444455500
764260534454065
oct11262067277274
92242077320250
10642380562108
1122848309813a
12a45b7b4a590
1348764c810ac
142313ca9156c
1511a9a83b573
hex9590dd7ebc

642380562108 has 144 divisors (see below), whose sum is σ = 1681233345792. Its totient is φ = 206676000000.

The previous prime is 642380562101. The next prime is 642380562133. The reversal of 642380562108 is 801265083246.

642380562108 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 80 + 562 + 1 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642380562101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55936135 + ... + 55947617.

It is an arithmetic number, because the mean of its divisors is an integer number (11675231568).

Almost surely, 2642380562108 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 642380562108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840616672896).

642380562108 is an abundant number, since it is smaller than the sum of its proper divisors (1038852783684).

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

642380562108 is a wasteful number, since it uses less digits than its factorization.

642380562108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11936 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 642380562108 in words is "six hundred forty-two billion, three hundred eighty million, five hundred sixty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 151 164 246 251 302 369 453 492 502 604 738 753 906 1004 1359 1476 1506 1812 2259 2718 3012 4518 5436 6191 9036 10291 11483 12382 18573 20582 22966 24764 30873 34449 37146 37901 41164 45932 55719 61746 68898 74292 75802 92619 103347 111438 113703 123492 137796 151604 185238 206694 222876 227406 341109 370476 413388 454812 470803 682218 941606 1364436 1412409 1553941 1733933 1883212 2824818 2882233 3107882 3467866 4237227 4661823 5201799 5649636 5764466 6215764 6935732 8474454 8646699 9323646 10403598 11528932 13985469 15605397 16948908 17293398 18647292 20807196 25940097 27970938 31210794 34586796 51880194 55941876 62421588 71091253 103760388 118171553 142182506 213273759 236343106 284365012 354514659 426547518 435217183 472686212 639821277 709029318 853095036 870434366 1063543977 1279642554 1305651549 1418058636 1740868732 2127087954 2559285108 2611303098 3916954647 4254175908 5222606196 7833909294 15667818588 17843904503 35687809006 53531713509 71375618012 107063427018 160595140527 214126854036 321190281054 642380562108