Search a number
-
+
486420698862 = 2327217259312511
BaseRepresentation
bin1110001010000001110…
…11101101011011101110
31201111112111100202000100
413011000323231123232
530432142144330422
61011243015411530
750066646502200
oct7050073553356
91644474322010
10486420698862
1117832089257a
127a331383ba6
1336b3ba49a47
141978597c770
15c9bd9017ac
hex7140eed6ee

486420698862 has 144 divisors (see below), whose sum is σ = 1298699505792. Its totient is φ = 130741309440.

The previous prime is 486420698843. The next prime is 486420698867. The reversal of 486420698862 is 268896024684.

486420698862 is a `hidden beast` number, since 48 + 6 + 420 + 6 + 98 + 86 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 486420698862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486420698867) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38873187 + ... + 38885697.

It is an arithmetic number, because the mean of its divisors is an integer number (9018746568).

Almost surely, 2486420698862 is an apocalyptic number.

486420698862 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 486420698862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649349752896).

486420698862 is an abundant number, since it is smaller than the sum of its proper divisors (812278806930).

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

486420698862 is a wasteful number, since it uses less digits than its factorization.

486420698862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15143 (or 15133 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 486420698862 in words is "four hundred eighty-six billion, four hundred twenty million, six hundred ninety-eight thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 2593 4998 5186 7497 7779 12511 14994 15558 18151 23337 25022 36302 37533 44081 46674 54453 75066 87577 88162 108906 112599 127057 132243 163359 175154 212687 225198 254114 262731 264486 308567 326718 381171 396729 425374 525462 613039 617134 638061 762342 788193 793458 925701 1143513 1226078 1276122 1488809 1576386 1839117 1851402 1914183 2159969 2287026 2777103 2977618 3678234 3828366 4319938 4466427 5517351 5554206 6479907 8932854 10421663 11034702 12959814 13399281 19439721 20843326 26798562 31264989 32441023 38879442 62529978 64882046 93794967 97323069 187589934 194646138 227087161 291969207 454174322 551497391 583938414 681261483 1102994782 1362522966 1589610127 1654492173 2043784449 3179220254 3308984346 3860481737 4087568898 4768830381 4963476519 7720963474 9537660762 9926953038 11581445211 14306491143 23162890422 27023372159 28612982286 34744335633 54046744318 69488671266 81070116477 162140232954 243210349431 486420698862