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6542404992 = 27343112029
BaseRepresentation
bin1100001011111010…
…10010110110000000
3121212221200121110000
412011331102312000
5101344323424432
63001110240000
7321061345014
oct60575226600
917787617400
106542404992
112858020782
121327056000
1380357a276
14460c82544
1528457a57c
hex185f52d80

6542404992 has 160 divisors (see below), whose sum is σ = 19542322800. Its totient is φ = 2172718080.

The previous prime is 6542404991. The next prime is 6542405003. The reversal of 6542404992 is 2994042456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6542404991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3223434 + ... + 3225462.

Almost surely, 26542404992 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 6542404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771161400).

6542404992 is an abundant number, since it is smaller than the sum of its proper divisors (12999917808).

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

6542404992 is a wasteful number, since it uses less digits than its factorization.

6542404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6542404992 is about 80885.1345551208. The cubic root of 6542404992 is about 1870.3051721536.

The spelling of 6542404992 in words is "six billion, five hundred forty-two million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 311 324 384 432 576 622 648 864 933 1152 1244 1296 1728 1866 2029 2488 2592 2799 3456 3732 4058 4976 5184 5598 6087 7464 8116 8397 9952 10368 11196 12174 14928 16232 16794 18261 19904 22392 24348 25191 29856 32464 33588 36522 39808 44784 48696 50382 54783 59712 64928 67176 73044 89568 97392 100764 109566 119424 129856 134352 146088 164349 179136 194784 201528 219132 259712 268704 292176 328698 358272 389568 403056 438264 537408 584352 631019 657396 779136 806112 876528 1074816 1168704 1262038 1314792 1612224 1753056 1893057 2337408 2524076 2629584 3224448 3506112 3786114 5048152 5259168 5679171 7012224 7572228 10096304 10518336 11358342 15144456 17037513 20192608 21036672 22716684 30288912 34075026 40385216 45433368 51112539 60577824 68150052 80770432 90866736 102225078 121155648 136300104 181733472 204450156 242311296 272600208 363466944 408900312 545200416 726933888 817800624 1090400832 1635601248 2180801664 3271202496 6542404992