Search a number
-
+
19796049904192 = 2617103586730109
BaseRepresentation
bin1001000000001001000001…
…00001011100001001000000
32121002111001202101011101121
410200010200201130021000
510043314302233413232
6110034102455442024
74112134366556362
oct440044041341100
977074052334347
1019796049904192
1163425040a8451
122278735086314
13b079b47c6a83
144c61c36d6d32
15244e19c47d97
hex12012085c240

19796049904192 has 112 divisors (see below), whose sum is σ = 42005912757120. Its totient is φ = 9223464886272.

The previous prime is 19796049904187. The next prime is 19796049904199. The reversal of 19796049904192 is 29140994069791.

It is not an unprimeable number, because it can be changed into a prime (19796049904199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657464434 + ... + 657494542.

Almost surely, 219796049904192 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 19796049904192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21002956378560).

19796049904192 is an abundant number, since it is smaller than the sum of its proper divisors (22209862852928).

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

19796049904192 is a wasteful number, since it uses less digits than its factorization.

19796049904192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36108 (or 36098 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 70.

The spelling of 19796049904192 in words is "nineteen trillion, seven hundred ninety-six billion, forty-nine million, nine hundred four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 136 206 272 412 544 824 1088 1648 1751 3296 3502 5867 6592 7004 11734 14008 23468 28016 30109 46936 56032 60218 93872 99739 112064 120436 187744 199478 240872 375488 398956 481744 511853 604301 797912 963488 1023706 1208602 1595824 1926976 2047412 2417204 3101227 3191648 4094824 4834408 6202454 6383296 8189648 9668816 10273117 12404908 16379296 19337632 20546234 24809816 32758592 38675264 41092468 49619632 52720859 82184936 99239264 105441718 164369872 176649503 198478528 210883436 328739744 353299006 421766872 657479488 706598012 843533744 1413196024 1687067488 2826392048 3003041551 3374134976 5652784096 6006083102 11305568192 12012166204 18194898809 24024332408 36389797618 48048664816 72779595236 96097329632 145559190472 192194659264 291118380944 309313279753 582236761888 618626559506 1164473523776 1237253119012 2474506238024 4949012476048 9898024952096 19796049904192