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83905310508 = 223411511129399
BaseRepresentation
bin100111000100100100…
…1010110111100101100
322000120111122101212220
41032021021112330230
52333314224414013
6102313501555340
76030152241345
oct1161111267454
9260514571786
1083905310508
11326473a6728
1214317875b50
137bb2251c36
1440bd6c10cc
1522b128cb23
hex1389256f2c

83905310508 has 48 divisors (see below), whose sum is σ = 201882508800. Its totient is φ = 27105552000.

The previous prime is 83905310477. The next prime is 83905310561. The reversal of 83905310508 is 80501350938.

It is a super-4 number, since 4×839053105084 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 83905310508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490408 + ... + 638991.

It is an arithmetic number, because the mean of its divisors is an integer number (4205885600).

Almost surely, 283905310508 is an apocalyptic number.

It is an amenable number.

83905310508 is an abundant number, since it is smaller than the sum of its proper divisors (117977198292).

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

83905310508 is a wasteful number, since it uses less digits than its factorization.

83905310508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129598 (or 1129596 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 83905310508 in words is "eighty-three billion, nine hundred five million, three hundred ten thousand, five hundred eight".

Divisors: 1 2 3 4 6 12 41 82 123 151 164 246 302 453 492 604 906 1812 6191 12382 18573 24764 37146 74292 1129399 2258798 3388197 4517596 6776394 13552788 46305359 92610718 138916077 170539249 185221436 277832154 341078498 511617747 555664308 682156996 1023235494 2046470988 6992109209 13984218418 20976327627 27968436836 41952655254 83905310508