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422542533105 = 325711732116657
BaseRepresentation
bin1100010011000010111…
…11110110000111110001
31111101122201022200222100
412021201133312013301
523410331342024410
6522040252531013
742345666161610
oct6114137660761
91441581280870
10422542533105
11153221276150
1269a84780a69
1330acb9b7c24
141664600b877
15aed09928c0
hex62617f61f1

422542533105 has 96 divisors (see below), whose sum is σ = 913310431488. Its totient is φ = 175567564800.

The previous prime is 422542533097. The next prime is 422542533107. The reversal of 422542533105 is 501335245224.

422542533105 is a `hidden beast` number, since 4 + 2 + 2 + 542 + 5 + 3 + 3 + 105 = 666.

It is not a de Polignac number, because 422542533105 - 23 = 422542533097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 422542533105.

It is not an unprimeable number, because it can be changed into a prime (422542533107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25358937 + ... + 25375593.

It is an arithmetic number, because the mean of its divisors is an integer number (9513650328).

Almost surely, 2422542533105 is an apocalyptic number.

422542533105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422542533105 is an abundant number, since it is smaller than the sum of its proper divisors (490767898383).

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

422542533105 is a wasteful number, since it uses less digits than its factorization.

422542533105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24007 (or 24004 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 422542533105 its reverse (501335245224), we get a palindrome (923877778329).

The spelling of 422542533105 in words is "four hundred twenty-two billion, five hundred forty-two million, five hundred thirty-three thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 7321 16657 21963 36605 49971 51247 65889 80531 83285 109815 116599 149913 153741 183227 241593 249855 256235 329445 349797 402655 461223 549681 563717 582995 724779 749565 768705 916135 1049391 1207965 1282589 1649043 1691151 1748985 2306115 2748405 2818585 3623895 3847767 5073453 5246955 6412945 8245215 8455755 11543301 19238835 25367265 57716505 121945897 365837691 609729485 853621279 1097513073 1341404867 1829188455 2560863837 4024214601 4268106395 5487565365 6707024335 7682591511 9389834069 12072643803 12804319185 20121073005 28169502207 38412957555 46949170345 60363219015 84508506621 140847511035 422542533105