Search a number
-
+
49004096249088 = 283311362740823
BaseRepresentation
bin10110010010001101001111…
…01111111101110100000000
320102111202010201112212001000
423021012213233331310000
522410340342114432323
6252120100535412000
713215300121256211
oct1311064757756400
9212452121485030
1049004096249088
111468357a886822
1255b53a4824000
1321460b2ca8286
14c15b4d20b408
1559ea97d31e43
hex2c91a7bfdd00

49004096249088 has 144 divisors (see below), whose sum is σ = 146196158451840. Its totient is φ = 16190143635456.

The previous prime is 49004096249081. The next prime is 49004096249117. The reversal of 49004096249088 is 88094269040094.

49004096249088 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 4 + 0 + 9 + 62 + 490 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49004096249081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30589356 + ... + 32151467.

It is an arithmetic number, because the mean of its divisors is an integer number (1015251100360).

Almost surely, 249004096249088 is an apocalyptic number.

49004096249088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49004096249088 is an abundant number, since it is smaller than the sum of its proper divisors (97192062202752).

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

49004096249088 is a wasteful number, since it uses less digits than its factorization.

49004096249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62740961 (or 62740941 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 49004096249088 in words is "forty-nine trillion, four billion, ninety-six million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 256 288 339 384 432 452 576 678 768 864 904 1017 1152 1356 1728 1808 2034 2304 2712 3051 3456 3616 4068 5424 6102 6912 7232 8136 10848 12204 14464 16272 21696 24408 28928 32544 43392 48816 65088 86784 97632 130176 195264 260352 390528 781056 62740823 125481646 188222469 250963292 376444938 501926584 564667407 752889876 1003853168 1129334814 1505779752 1694002221 2007706336 2258669628 3011559504 3388004442 4015412672 4517339256 6023119008 6776008884 7089712999 8030825344 9034678512 12046238016 13552017768 14179425998 16061650688 18069357024 21269138997 24092476032 27104035536 28358851996 36138714048 42538277994 48184952064 54208071072 56717703992 63807416991 72277428096 85076555988 108416142144 113435407984 127614833982 144554856192 170153111976 191422250973 216832284288 226870815968 255229667964 340306223952 382844501946 433664568576 453741631936 510459335928 680612447904 765689003892 907483263872 1020918671856 1361224895808 1531378007784 1814966527744 2041837343712 2722449791616 3062756015568 4083674687424 5444899583232 6125512031136 8167349374848 12251024062272 16334698749696 24502048124544 49004096249088