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42663611133 = 321113257128987
BaseRepresentation
bin100111101110111100…
…110000101011111101
311002010022010000001200
4213232330300223331
51144333341024013
631333245130113
73040146465633
oct475674605375
9132108100050
1042663611133
1117103550560
128327b59939
13403bb68020
1420ca24b353
15119a77ee73
hex9eef30afd

42663611133 has 48 divisors (see below), whose sum is σ = 72681126336. Its totient is φ = 23774699520.

The previous prime is 42663611119. The next prime is 42663611141. The reversal of 42663611133 is 33111636624.

42663611133 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 3 + 611 + 1 + 33 = 666.

It is not a de Polignac number, because 42663611133 - 26 = 42663611069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42663611143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266266 + ... + 395252.

It is an arithmetic number, because the mean of its divisors is an integer number (1514190132).

Almost surely, 242663611133 is an apocalyptic number.

It is an amenable number.

42663611133 is a deficient number, since it is larger than the sum of its proper divisors (30017515203).

42663611133 is a wasteful number, since it uses less digits than its factorization.

42663611133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129274 (or 129271 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 42663 and 611133, that added together give a triangular number (653796 = T1143).

The spelling of 42663611133 in words is "forty-two billion, six hundred sixty-three million, six hundred eleven thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 257 429 771 1287 2313 2827 3341 8481 10023 25443 30069 36751 110253 128987 330759 386961 1160883 1418857 1676831 4256571 5030493 12769713 15091479 18445141 33149659 55335423 99448977 166006269 298346931 364646249 430945567 1093938747 1292836701 3281816241 3878510103 4740401237 14221203711 42663611133