Search a number
-
+
263457241112 = 231337435926987
BaseRepresentation
bin1111010101011101000…
…1100111100000011000
3221012000210021112110202
43311113101213200120
513304030023203422
6321010335001332
725014500412602
oct3652721474030
9835023245422
10263457241112
11a180582071a
1243087369248
131bac80c4460
14ca73ba2172
156cbe489b92
hex3d57467818

263457241112 has 128 divisors (see below), whose sum is σ = 568561593600. Its totient is φ = 113595084288.

The previous prime is 263457240989. The next prime is 263457241139. The reversal of 263457241112 is 211142754362.

263457241112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9748883 + ... + 9775869.

It is an arithmetic number, because the mean of its divisors is an integer number (4441887450).

Almost surely, 2263457241112 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 263457241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284280796800).

263457241112 is an abundant number, since it is smaller than the sum of its proper divisors (305104352488).

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

263457241112 is a wasteful number, since it uses less digits than its factorization.

263457241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27141 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

Adding to 263457241112 its reverse (211142754362), we get a palindrome (474599995474).

The spelling of 263457241112 in words is "two hundred sixty-three billion, four hundred fifty-seven million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 37 43 52 59 74 86 104 118 148 172 236 296 344 472 481 559 767 962 1118 1534 1591 1924 2183 2236 2537 3068 3182 3848 4366 4472 5074 6136 6364 8732 10148 12728 17464 20296 20683 26987 28379 32981 41366 53974 56758 65962 82732 93869 107948 113516 131924 165464 187738 215896 227032 263848 350831 375476 701662 750952 998519 1160441 1220297 1403324 1592233 1997038 2320882 2440594 2806648 3184466 3994076 4641764 4881188 6368932 7988152 9283528 9762376 12737864 12980747 15085733 20699029 25961494 30171466 41398058 42936317 51922988 58912621 60342932 68466019 82796116 85872634 103845976 117825242 120685864 136932038 165592232 171745268 235650484 273864076 343490536 471300968 547728152 558172121 765864073 890058247 1116344242 1531728146 1780116494 2232688484 2533242703 3063456292 3560232988 4465376968 5066485406 6126912584 7120465976 10132970812 20265941624 32932155139 65864310278 131728620556 263457241112