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42078480520 = 2353133379973
BaseRepresentation
bin100111001100000100…
…101010100010001000
311000121112002021202111
4213030010222202020
51142134042334040
631155223512104
73016513116526
oct471404524210
9130545067674
1042078480520
111693322923a
1281a3bb8634
133c778774ab
142072655316
1511641ecdea
hex9cc12a888

42078480520 has 64 divisors (see below), whose sum is σ = 95270451120. Its totient is φ = 16726155264.

The previous prime is 42078480517. The next prime is 42078480557. The reversal of 42078480520 is 2508487024.

It can be written as a sum of positive squares in 8 ways, for example, as 31337604 + 42047142916 = 5598^2 + 205054^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4214254 + ... + 4224226.

Almost surely, 242078480520 is an apocalyptic number.

42078480520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42078480520 is an abundant number, since it is smaller than the sum of its proper divisors (53191970600).

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

42078480520 is a wasteful number, since it uses less digits than its factorization.

42078480520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The spelling of 42078480520 in words is "forty-two billion, seventy-eight million, four hundred eighty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 337 626 674 1252 1348 1565 1685 2504 2696 3130 3370 6260 6740 9973 12520 13480 19946 39892 49865 79784 99730 105481 199460 210962 398920 421924 527405 843848 1054810 2109620 3121549 3360901 4219240 6243098 6721802 12486196 13443604 15607745 16804505 24972392 26887208 31215490 33609010 62430980 67218020 124861960 134436040 1051962013 2103924026 4207848052 5259810065 8415696104 10519620130 21039240260 42078480520