Search a number
-
+
269699215940 = 2257112107148793
BaseRepresentation
bin1111101100101101010…
…0110111001001000100
3221210010210122201012122
43323023110313021010
513404320444402230
6323521554105112
725325253340130
oct3731324671104
9853123581178
10269699215940
11a44191a3800
124432987b198
131c581352b9b
14d0a6b9c3c0
15703746dbe5
hex3ecb537244

269699215940 has 144 divisors (see below), whose sum is σ = 718125077376. Its totient is φ = 83275906560.

The previous prime is 269699215873. The next prime is 269699215949. The reversal of 269699215940 is 49512996962.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (269699215949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738184 + ... + 1886976.

It is an arithmetic number, because the mean of its divisors is an integer number (4986979704).

Almost surely, 2269699215940 is an apocalyptic number.

269699215940 is a gapful number since it is divisible by the number (20) 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 269699215940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359062538688).

269699215940 is an abundant number, since it is smaller than the sum of its proper divisors (448425861436).

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

269699215940 is a wasteful number, since it uses less digits than its factorization.

269699215940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148938 (or 148925 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 62.

The spelling of 269699215940 in words is "two hundred sixty-nine billion, six hundred ninety-nine million, two hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 121 140 154 214 220 242 308 385 428 484 535 605 749 770 847 1070 1177 1210 1498 1540 1694 2140 2354 2420 2996 3388 3745 4235 4708 5885 7490 8239 8470 11770 12947 14980 16478 16940 23540 25894 32956 41195 51788 64735 82390 90629 129470 148793 164780 181258 258940 297586 362516 453145 595172 743965 906290 1041551 1487930 1636723 1812580 2083102 2975860 3273446 4166204 5207755 6546892 8183615 10415510 11457061 15920851 16367230 18003953 20831020 22914122 31841702 32734460 36007906 45828244 57285305 63683404 72015812 79604255 90019765 111445957 114570610 126027671 159208510 175129361 180039530 222891914 229141220 252055342 318417020 350258722 360079060 445783828 504110684 557229785 630138355 700517444 875646805 1114459570 1225905527 1260276710 1751293610 1926422971 2228919140 2451811054 2520553420 3502587220 3852845942 4903622108 6129527635 7705691884 9632114855 12259055270 13484960797 19264229710 24518110540 26969921594 38528459420 53939843188 67424803985 134849607970 269699215940