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4781397984768 = 29329587108233
BaseRepresentation
bin100010110010100000110…
…0001110100011000000000
3121221002121211212011020200
41011211001201310120000
51111314300341003033
614100313252405200
71002305333201436
oct105450141643000
917832554764220
104781397984768
111583863569a59
12652800616800
13288b64bc18b2
141275c6d28d56
1584596129013
hex45941874600

4781397984768 has 120 divisors (see below), whose sum is σ = 13801005226008. Its totient is φ = 1593618358272.

The previous prime is 4781397984761. The next prime is 4781397984829. The reversal of 4781397984768 is 8674897931874.

4781397984768 is a `hidden beast` number, since 4 + 7 + 8 + 139 + 7 + 9 + 8 + 476 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4781397984761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44122780 + ... + 44231012.

Almost surely, 24781397984768 is an apocalyptic number.

4781397984768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4781397984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900502613004).

4781397984768 is an abundant number, since it is smaller than the sum of its proper divisors (9019607241240).

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

4781397984768 is a wasteful number, since it uses less digits than its factorization.

4781397984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117844 (or 117825 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 4781397984768 in words is "four trillion, seven hundred eighty-one billion, three hundred ninety-seven million, nine hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 9587 19174 28761 38348 57522 76696 86283 108233 115044 153392 172566 216466 230088 306784 324699 345132 432932 460176 613568 649398 690264 865864 920352 974097 1227136 1298796 1380528 1731728 1840704 1948194 2454272 2597592 2761056 3463456 3681408 3896388 4908544 5195184 5522112 6926912 7362816 7792776 10390368 11044224 13853824 14725632 15585552 20780736 22088448 27707648 31171104 41561472 44176896 55415296 62342208 83122944 124684416 166245888 249368832 498737664 1037629771 2075259542 3112889313 4150519084 6225778626 8301038168 9338667939 12451557252 16602076336 18677335878 24903114504 33204152672 37354671756 49806229008 66408305344 74709343512 99612458016 132816610688 149418687024 199224916032 265633221376 298837374048 398449832064 531266442752 597674748096 796899664128 1195349496192 1593799328256 2390698992384 4781397984768