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12268300950 = 23252191638803
BaseRepresentation
bin10110110110011111…
…10110101010010110
31011122222222021001200
423123033312222112
5200111141112300
65345212133330
7613006560153
oct133317665226
934588867050
1012268300950
1152261550a4
122464767246
131206914199
148454dd22a
154bc0bc200
hex2db3f6a96

12268300950 has 144 divisors (see below), whose sum is σ = 34912438080. Its totient is φ = 3079995840.

The previous prime is 12268300927. The next prime is 12268300963. The reversal of 12268300950 is 5900386221.

12268300950 is a `hidden beast` number, since 1 + 2 + 268 + 300 + 95 + 0 = 666.

It is a super-2 number, since 2×122683009502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1389249 + ... + 1398051.

Almost surely, 212268300950 is an apocalyptic number.

12268300950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12268300950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456219040).

12268300950 is an abundant number, since it is smaller than the sum of its proper divisors (22644137130).

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

12268300950 is a wasteful number, since it uses less digits than its factorization.

12268300950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9003 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12268300950 in words is "twelve billion, two hundred sixty-eight million, three hundred thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 163 171 190 225 285 326 342 450 475 489 570 815 855 950 978 1425 1467 1630 1710 2445 2850 2934 3097 4075 4275 4890 6194 7335 8150 8550 8803 9291 12225 14670 15485 17606 18582 24450 26409 27873 30970 36675 44015 46455 52818 55746 73350 77425 79227 88030 92910 132045 139365 154850 158454 167257 220075 232275 264090 278730 334514 396135 440150 464550 501771 660225 696825 792270 836285 1003542 1320450 1393650 1434889 1505313 1672570 1980675 2508855 2869778 3010626 3961350 4181425 4304667 5017710 7174445 7526565 8362850 8609334 12544275 12914001 14348890 15053130 21523335 25088550 25828002 27262891 35872225 37632825 43046670 54525782 64570005 71744450 75265650 81788673 107616675 129140010 136314455 163577346 215233350 245366019 272628910 322850025 408943365 490732038 645700050 681572275 817886730 1226830095 1363144550 2044716825 2453660190 4089433650 6134150475 12268300950