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6149755663992 = 2334172632122649
BaseRepresentation
bin101100101111101101000…
…0000000111011001111000
3210202220121001020111210000
41121133122000013121320
51301224144422221432
621025054142353000
71203206451440433
oct131373200073170
923686531214700
106149755663992
111a61107826316
12833a4488b760
13357bc5100925
14173914d3a81a
15a9e813a157c
hex597da007678

6149755663992 has 160 divisors (see below), whose sum is σ = 18307601532000. Its totient is φ = 1921998329856.

The previous prime is 6149755663991. The next prime is 6149755663999. The reversal of 6149755663992 is 2993665579416.

6149755663992 is a `hidden beast` number, since 6 + 1 + 4 + 9 + 7 + 556 + 63 + 9 + 9 + 2 = 666.

It is a super-3 number, since 3×61497556639923 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6149755663992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149755663991) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1835884 + ... + 3958532.

It is an arithmetic number, because the mean of its divisors is an integer number (114422509575).

Almost surely, 26149755663992 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 6149755663992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153800766000).

6149755663992 is an abundant number, since it is smaller than the sum of its proper divisors (12157845868008).

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

6149755663992 is a wasteful number, since it uses less digits than its factorization.

6149755663992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122947 (or 2122934 counting only the distinct ones).

The product of its digits is 661348800, while the sum is 72.

The spelling of 6149755663992 in words is "six trillion, one hundred forty-nine billion, seven hundred fifty-five million, six hundred sixty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 263 306 324 408 459 526 612 648 789 918 1052 1224 1377 1578 1836 2104 2367 2754 3156 3672 4471 4734 5508 6312 7101 8942 9468 11016 13413 14202 17884 18936 21303 26826 28404 35768 40239 42606 53652 56808 80478 85212 107304 120717 160956 170424 241434 321912 362151 482868 724302 965736 1448604 2122649 2897208 4245298 6367947 8490596 12735894 16981192 19103841 25471788 36085033 38207682 50943576 57311523 72170066 76415364 108255099 114623046 144340132 152830728 171934569 216510198 229246092 288680264 324765297 343869138 433020396 458492184 558256687 649530594 687738276 866040792 974295891 1116513374 1299061188 1375476552 1674770061 1948591782 2233026748 2598122376 2922887673 3349540122 3897183564 4466053496 5024310183 5845775346 6699080244 7794367128 9490363679 10048620366 11691550692 13398160488 15072930549 18980727358 20097240732 23383101384 28471091037 30145861098 37961454716 40194481464 45218791647 56942182074 60291722196 75922909432 85413273111 90437583294 113884364148 120583444392 170826546222 180875166588 227768728296 256239819333 341653092444 361750333176 512479638666 683306184888 768719457999 1024959277332 1537438915998 2049918554664 3074877831996 6149755663992