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298029268768 = 25711226341809
BaseRepresentation
bin1000101011000111110…
…11011011111100100000
31001111021011122111201111
410111203323123330200
514340330443100033
6344525053313104
730350304662260
oct4254373337440
91044234574644
10298029268768
11105436830800
1249915495794
132214776175a
14105d35057a0
157b4467d7cd
hex4563edbf20

298029268768 has 144 divisors (see below), whose sum is σ = 739888490880. Its totient is φ = 115671029760.

The previous prime is 298029268759. The next prime is 298029268777. The reversal of 298029268768 is 867862920892.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (298029268759) and next prime (298029268777).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7107448 + ... + 7149256.

It is an arithmetic number, because the mean of its divisors is an integer number (5138114520).

Almost surely, 2298029268768 is an apocalyptic number.

298029268768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298029268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369944245440).

298029268768 is an abundant number, since it is smaller than the sum of its proper divisors (441859222112).

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

298029268768 is a wasteful number, since it uses less digits than its factorization.

298029268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42111 (or 42092 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 67.

The spelling of 298029268768 in words is "two hundred ninety-eight billion, twenty-nine million, two hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 263 308 352 484 526 616 847 968 1052 1232 1694 1841 1936 2104 2464 2893 3388 3682 3872 4208 5786 6776 7364 8416 11572 13552 14728 20251 23144 27104 29456 31823 40502 41809 46288 58912 63646 81004 83618 92576 127292 162008 167236 222761 254584 292663 324016 334472 445522 459899 509168 585326 648032 668944 891044 919798 1018336 1170652 1337888 1782088 1839596 2341304 3219293 3564176 3679192 4682608 5058889 6438586 7128352 7358384 9365216 10117778 10995767 12877172 14716768 20235556 21991534 25754344 35412223 40471112 43983068 51508688 70824446 76970369 80942224 87966136 103017376 120953437 141648892 153940738 161884448 175932272 241906874 283297784 307881476 351864544 483813748 566595568 615762952 846674059 967627496 1133191136 1231525904 1330487807 1693348118 1935254992 2463051808 2660975614 3386696236 3870509984 5321951228 6773392472 9313414649 10643902456 13546784944 18626829298 21287804912 27093569888 37253658596 42575609824 74507317192 149014634384 298029268768