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42702459892480 = 285171962429223
BaseRepresentation
bin10011011010110011100001…
…11100111111001100000000
312121012022111211222202010101
421231121300330333030000
521044114114213024410
6230453123402412144
711665102523110363
oct1155316074771400
9177168454882111
1042702459892480
11126740143a4143
124958033501054
131aa9a94ac473b
14a78b4ac400da
154e0bc7c08d3a
hex26d670f3f300

42702459892480 has 72 divisors (see below), whose sum is σ = 108302544014112. Its totient is φ = 16076220186624.

The previous prime is 42702459892457. The next prime is 42702459892493. The reversal of 42702459892480 is 8429895420724.

42702459892480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 981192852 + ... + 981236371.

It is an arithmetic number, because the mean of its divisors is an integer number (1504202000196).

Almost surely, 242702459892480 is an apocalyptic number.

42702459892480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42702459892480 is an abundant number, since it is smaller than the sum of its proper divisors (65600084121632).

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

42702459892480 is a wasteful number, since it uses less digits than its factorization.

42702459892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962429261 (or 1962429247 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 42702459892480 in words is "forty-two trillion, seven hundred two billion, four hundred fifty-nine million, eight hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 1962429223 3924858446 7849716892 9812146115 15699433784 19624292230 31398867568 33361296791 39248584460 62797735136 66722593582 78497168920 125595470272 133445187164 156994337840 166806483955 251190940544 266890374328 313988675680 333612967910 502381881088 533780748656 627977351360 667225935820 1067561497312 1255954702720 1334451871640 2135122994624 2511909405440 2668903743280 4270245989248 5337807486560 8540491978496 10675614973120 21351229946240 42702459892480