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268168932549 = 33761711971663
BaseRepresentation
bin1111100111000000011…
…1010010110011000101
3221122012011011021001000
43321300013102303011
513343202221320144
6323110050523513
725242322213410
oct3716007226305
9848164137030
10268168932549
11a380340a191
1243b81296599
131c3992b995b
14cd9d854b77
156e97e41769
hex3e701d2cc5

268168932549 has 128 divisors (see below), whose sum is σ = 470644162560. Its totient is φ = 147761107200.

The previous prime is 268168932539. The next prime is 268168932557. The reversal of 268168932549 is 945239861862.

268168932549 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 6 + 89 + 3 + 2 + 549 = 666.

268168932549 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268168932549 - 28 = 268168932293 is a prime.

It is a super-2 number, since 2×2681689325492 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268168932509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161255292 + ... + 161256954.

It is an arithmetic number, because the mean of its divisors is an integer number (3676907520).

Almost surely, 2268168932549 is an apocalyptic number.

It is an amenable number.

268168932549 is a deficient number, since it is larger than the sum of its proper divisors (202475230011).

268168932549 is a wasteful number, since it uses less digits than its factorization.

268168932549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 268168932549 in words is "two hundred sixty-eight billion, one hundred sixty-eight million, nine hundred thirty-two thousand, five hundred forty-nine".

Divisors: 1 3 7 9 21 27 61 63 71 183 189 197 213 427 497 549 591 639 1281 1379 1491 1647 1663 1773 1917 3843 4137 4331 4473 4989 5319 11529 11641 12017 12411 12993 13419 13987 14967 30317 34923 36051 37233 38979 41961 44901 84119 90951 97909 101443 104769 108153 116937 118073 125883 252357 272853 293727 304329 314307 324459 327611 354219 377649 710101 757071 818559 826511 853207 881181 912987 982833 1062657 2130303 2271213 2293277 2479533 2559621 2643543 2738961 2948499 3187971 5972449 6390909 6879831 7202453 7438599 7678863 8845497 17917347 19172727 19984271 20639493 21607359 22315797 23036589 23260381 50417171 53752041 59952813 61918479 64822077 69781143 139889897 151251513 161256123 162822667 179858439 194466231 209343429 419669691 453754539 488468001 539575317 628030287 1259009073 1361263617 1418883241 1465404003 3777027219 4256649723 4396212009 9932182687 12769949169 29796548061 38309847507 89389644183 268168932549