Search a number
-
+
32828831017890 = 23559112916428133
BaseRepresentation
bin1110111011011100011101…
…10011111010101110100010
311022020101221200022210211020
413131232032303322232202
513300331421220033030
6153453205021230310
76625543015325115
oct735561663725642
9138211850283736
1032828831017890
11a5076a129a046
123822545102396
13154198ca90c8b
14816cd127257c
153bde47262510
hex1ddb8ecfaba2

32828831017890 has 64 divisors (see below), whose sum is σ = 80195578934400. Its totient is φ = 8598352863744.

The previous prime is 32828831017877. The next prime is 32828831017951. The reversal of 32828831017890 is 9871013882823.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6215737 + ... + 10212396.

It is an arithmetic number, because the mean of its divisors is an integer number (1253055920850).

Almost surely, 232828831017890 is an apocalyptic number.

32828831017890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32828831017890 is an abundant number, since it is smaller than the sum of its proper divisors (47366747916510).

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

32828831017890 is a wasteful number, since it uses less digits than its factorization.

32828831017890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16429331.

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 32828831017890 in words is "thirty-two trillion, eight hundred twenty-eight billion, eight hundred thirty-one million, seventeen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1129 1770 2258 3387 5645 6774 11290 16935 33870 66611 133222 199833 333055 399666 666110 999165 1998330 16428133 32856266 49284399 82140665 98568798 164281330 246421995 492843990 969259847 1938519694 2907779541 4846299235 5815559082 9692598470 14538897705 18547362157 29077795410 37094724314 55642086471 92736810785 111284172942 185473621570 278210432355 556420864710 1094294367263 2188588734526 3282883101789 5471471836315 6565766203578 10942943672630 16414415508945 32828831017890