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206469489888 = 2534299926561
BaseRepresentation
bin1100000001001010001…
…0100110010011100000
3201201221012202211020000
43000102202212103200
511340322142134023
6234503433420000
720626335464364
oct3002242462340
9651835684200
10206469489888
117a62170a762
123402226a600
1316615749abc
149dc93c32a4
1555863ea243
hex30128a64e0

206469489888 has 120 divisors (see below), whose sum is σ = 607446378000. Its totient is φ = 68797624320.

The previous prime is 206469489857. The next prime is 206469489893. The reversal of 206469489888 is 888984964602.

206469489888 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 69 + 489 + 8 + 88 = 666.

It is a super-2 number, since 2×2064694898882 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7760128 + ... + 7786688.

It is an arithmetic number, because the mean of its divisors is an integer number (5062053150).

Almost surely, 2206469489888 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 206469489888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303723189000).

206469489888 is an abundant number, since it is smaller than the sum of its proper divisors (400976888112).

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

206469489888 is a wasteful number, since it uses less digits than its factorization.

206469489888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29582 (or 29565 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 206469489888 in words is "two hundred six billion, four hundred sixty-nine million, four hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2999 5998 8997 11996 17994 23992 26561 26991 35988 47984 53122 53982 71976 79683 80973 95968 106244 107964 143952 159366 161946 212488 215928 239049 242919 287904 318732 323892 424976 431856 478098 485838 637464 647784 717147 849952 863712 956196 971676 1274928 1295568 1434294 1912392 1943352 2151441 2549856 2591136 2868588 3824784 3886704 4302882 5737176 7649568 7773408 8605764 11474352 17211528 22948704 34423056 68846112 79656439 159312878 238969317 318625756 477938634 637251512 716907951 955877268 1274503024 1433815902 1911754536 2150723853 2549006048 2867631804 3823509072 4301447706 5735263608 6452171559 7647018144 8602895412 11470527216 12904343118 17205790824 22941054432 25808686236 34411581648 51617372472 68823163296 103234744944 206469489888